JEE Main Important Chemistry formulas
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NCERT Solutions for Perimeter and area class 7 - If you want to cover the floor of the room. The first question that comes in mind is how many square meters of flooring you need? It can be done by measuring the area of the room. In the practical case, you will buy slightly higher than the required area since there may be cuts and joints required for the flooring. The perimeter can be calculated by adding the length of all sides of the closed figure. In this chapter, you will study the perimeters of some simple geometry like rectangle, triangle, parallelogram, and circles.
You should try to solve all the NCERT problems including examples for a better understanding of the concepts. In CBSE NCERT solution for Class 7 Maths chapter 11 Perimeter and Area, you will get some complex geometry problems which will give you more clarity. You can get NCERT Solutions from Classes 6 to 12 by clicking on the above link. Here you will get solutions to four exercises of this chapter. Students are supposed to refer to the NCERT Class 7 Syllabus and know the exam pattern and important topics.
Perimeter of a Triangle = Side1 + Side2 + Side3
Perimeter of a Square = 4 × side of square
Perimeter of a Rectangle = 2 × ( Length + Breadth or Width )
Circumference or Perimeter of a Circle = πd = 2πr
Where d = Diameter of circle = 2r, r = Radius of circle
Area of a Square = Side × Side
Area of rectangle = Length × Breadth
Congruent parts of rectangle:
The area of each congruent part = (1/2) × ( The area of the rectangle )
Area of a parallelogram = Base × Height
Area of a Triangle = (1/2) × ( Base) × ( Height)
All the congruent triangles are equal in the area but the triangles equal in the area need not be congruent.
Area of a circle = πr2 where, r = Radius of circle
Unit Conversions:
1 cm2 = 100 mm2
1 m2 = 10000 cm2
1 hectare = 10000 m2
Perimeter: The total length of the boundary of a two-dimensional shape.
Circumference: The distance around the boundary of a circle.
Area: The measure of the space enclosed by a two-dimensional shape.
Congruent: Two shapes are congruent if they have the same size and shape.
Base: The bottom side of a two-dimensional shape, like a parallelogram or triangle.
Height: The perpendicular distance between the base and the opposite side in a two-dimensional shape.
Diameter: The longest chord (line segment connecting two points on a circle) passing through the center of a circle.
Radius: The distance from the center of a circle to any point on its boundary.
Unit Conversions: Converting measurements from one unit to another, based on their relationships.
Free download NCERT Solutions for Class 7 Maths Chapter 11 Perimeter and Area PDF for CBSE Exam.
Question:1 What would you need to find, area or perimeter, to answer the following?
How much space does a blackboard occupy?
Answer: The space of the board includes the whole area of the board
Question:2 What would you need to find, area or perimeter, to answer the following?
What is the length of a wire required to fence a rectangular flower bed?
Answer: The length of the wire to fence a flower bed is the circumference of the flower bed
Question:3 What would you need to find, area or perimeter, to answer the following?
What distance would you cover by taking two rounds of a triangular park?
Answer: Distance covered by taking round a triangular park is equal to the circumference of the triangular park
Question:4 What would you need to find, area or perimeter, to answer the following?
How much plastic sheet do you need to cover a rectangular swimming pool?
Answer: Plastic sheet need to cover is the area of the rectangular swimming pool
Question:2 Give two examples where the area increases as the perimeter increases.
Answer: A square of side 1m has perimeter 4 m and area 1 m 2 . When all sides are increased by 1m then perimeter =8m and area= 4 m 2 . Similarly, if we increase the length from 6m to 9m and breadth from 3m to 6m of a rectangular the perimeter and area will increase
Question:3 Give two examples where the area does not increase when perimeter increases.
Answer: Area of a rectangle with length = 20cm, breadth = 5 cm is 100cm 2 and perimeter is 50 cm. A rectangle with sides 50 cm and 2 cm ha area = 100cm 2 but perimeter is 104 cm
Question: 1(i) The length and the breadth of a rectangular piece of land are and respectively. Find its area
Answer: It is given that the length and the breadth of a rectangular piece of land are and
Now, we know that
Area of the rectangle (A) =
Therefore, area of rectangular piece of land is
Question: 1(ii) The length and the breadth of a rectangular piece of land are and respectively. Find the cost of the land, if of the land costs
Answer: It is given that the length and the breadth of a rectangular piece of land are and
Now, we know that
Area of the rectangle (A) =
Now, it is given that of the land costs
Therefore, cost of of land is
Question: 2 Find the area of a square park whose perimeter is .
Answer: It is given that the perimeter of the square park is
Now, we know that
The perimeter of a square is (P) , where a is the side of the square
Now,
Area of the square (A)
Therefore, the area of a square park is
Question: 3 Find the breadth of a rectangular plot of land, if its area is and the length is . Also find its perimeter.
Answer: It is given that the area of rectangular land is and the length is
Now, we know that
Area of rectangle is
Now,
The perimeter of the rectangle is
Therefore, the breath and perimeter of the rectangle are 20m and 88m respectively
Question: 4 The perimeter of a rectangular sheet is . If the length is , find its breadth. Also find the area.
Answer: It is given that perimeter of a rectangular sheet is and length is
Now, we know that
The perimeter of the rectangle is
Now,
Area of rectangle is
Therefore, breath and area of the rectangle are 15cm and respectively
Answer: It is given that the area of a square park is the same as of a rectangular park and side of the square park is and the length of the rectangular park is
Now, we know that
Area of square
Area of rectangle
Area of square = Area of rectangle
Therefore, breadth of the rectangle is 40 m
Answer: It is given that the length of rectangular wire is and breadth is .
Now, if it reshaped into a square wire
Then,
The perimeter of rectangle = perimeter of the square
Now,
Area of rectangle
Area of square
Therefore, the side of the square is 31 cm and we can clearly see that square-shaped wire encloses more area
Answer: It is given that the perimeter of a rectangle is and breadth is
Now, we know that
The perimeter of the rectangle is
Now,
Area of rectangle is
Therefore, the length and area of the rectangle are 35cm and respectively
Answer: It is given that the length of door is and breadth is and the length of the wall is and the breadth is
Now, we know that
Area of rectangle is
Thus, the area of the wall is
And
Area of the door is
Now, Area to be painted = Area of wall - Area of door = 16.2 - 2 = 14.2
Now, the cost of whitewashing the wall, at the rate of is
Therefore, the cost of whitewashing the wall, at the rate of is Rs 284
Answer:
The total area of rectangle
i) The first rectangle is divided into 6 equal parts. So the area of each part will be one-sixth of the total area
ii) The rectangle is divided into 4 equal parts, area of each part= one-forth area of rectangle= 6 cm 2
iii) and (iv) are divided into two equal parts. Area of each part will be one half the total area of rectangle= 12 cm 2
v) Area of rectangle is divided into 8 equal parts. Area of one part is one-eighth of the total area of rectangle = 3 cm 2
Question:1(i) Find the area of following parallelograms:
Answer: Area of the parallelogram is the product of base and height
Question: 1(ii) Find the area of following parallelograms:
Answer: Area of the parallelogram is the product of base and height
Question:(iii) Find the area of the following parallelograms:
In a parallelogram , and the perpendicular from on is
Answer: Area of parallelogram = the product of base and height
Question: 1(a) Find the area of the following parallelograms:
Answer: We know that
Area of parallelogram
Here,
Base of parallelogram = 7cm
and
Height of parallelogram = 4 cm
Therefore, the area of the parallelogram is
Question: 1(b) Find the area of the following parallelograms:
Answer:
We know that
Area of parallelogram
Here,
Base of parallelogram = 5cm
and
Height of parallelogram = 3 cm
Therefore, the area of the parallelogram is
Question: 1(c) Find the area of the following parallelograms:
Answer: We know that
Area of parallelogram
Here,
Base of parallelogram = 2.5cm
and
Height of parallelogram = 3.5 cm
Therefore, area of parallelogram is
Question: 1(d) Find the area of the following parallelograms:
Answer: We know that
Area of parallelogram
Here,
Base of parallelogram = 5cm
and
Height of parallelogram = 4.8 cm
Therefore, the area of a parallelogram is
Question: 1(e) Find the area of the following parallelograms:
Answer: We know that
Area of parallelogram
Here,
Base of parallelogram = 2 cm
and
Height of parallelogram = 4.4 cm
Therefore, the area of a parallelogram is
Question: 2(a) Find the area of each of the following triangles:
Answer: We know that
Area of triangle
Here,
Base of triangle = 4 cm
and
Height of triangle =3 cm
Therefore, area of triangle is
Question: 2(b) Find the area of the following triangles:
Answer: We know that
Area of triangle
Here,
Base of triangle = 5 cm
and
Height of triangle =3.2 cm
Therefore, the area of the triangle is
Question: 2(c) Find the area of the following triangles:
Answer: We know that
Area of triangle
Here,
Base of triangle = 3 cm
and
Height of triangle =4 cm
Therefore, area of triangle is
Question: 2(d) Find the area of the following triangles:
Answer: We know that
Area of triangle
Here,
Base of triangle = 3 cm
and
Height of triangle =2 cm
Therefore, the area of the triangle is
Question: 3 Find the missing values:
Answer: We know that
Area of parallelogram
a) Here, base and area of parallelogram is given
b) Here height and area of parallelogram is given
c) Here height and area of parallelogram is given
d) Here base and area of parallelogram is given
Question: 4 Find the missing values:
Answer: We know that
Area of triangle
a) Here, the base and area of the triangle is given
b) Here height and area of the triangle is given
c) Here base and area of the triangle is given
Question: 5(a) is a parallelogram (Fig 11.23). is the height from to and is the height from to . If and
Find:
the area of the parallelogram
Answer: We know that
Area of parallelogram
Here,
Base of parallelogram = 12 cm
and
Height of parallelogram = 7.6 cm
Therefore, area of parallelogram is
Question: 5(b) is a parallelogram (Fig 11.23). is the height from to and is the height from to . If and
Find:
, if .
Answer: We know that
Area of parallelogram
Here,
Base of parallelogram = 12 cm
and
Height of parallelogram = 7.6 cm
Now,
The area is also given by
Therefore, value of QN is
Question: 6 and are the heights on sides and respectively, of parallelogram (Fig 11.24). If the area of the parallelogram is and find the length of and
Answer: We know that
Area of parallelogram
Here,
Base of parallelogram(AB) = 35 cm
and
Height of parallelogram(DL) = h cm
Similarly,
Area is also given by
Therefore, the value of BM and DL are is 30cm and 42cm respectively
Question:7 is right angled at (Fig 11.25). is perpendicular to . If and Find the area of
. Also find the length of .
Answer: We know that
Area of triangle
Now,
When base = 5 cm and height = 12 cm
Then, the area is equal to
Now,
When base = 13 cm and height = AD area remain same
Therefore,
Therefore, the value of AD is and the area is equal to
Question: 8 is isosceles with and (Fig 11.26). The height from to is Find the area of
What will be the height from to i.e., ?
Answer: We know that
Area of triangle
Now,
When base(BC) = 9 cm and height(AD) = 6 cm
Then, the area is equal to
Now,
When base(AB) = 7.5 cm and height(CE) = h , area remain same
Therefore,
Therefore, value of CE is 7.2cm and area is equal to
Question:(a) In Fig Which square has a larger perimeter?
Answer: The outer square has a larger perimeter. Since each side of the inner square forms a triangle. The length of the third side of a triangle is less than the sum of the other two lengths.
Question:(b) In Fig 11.31, Which is larger, perimeter of smaller square or the circumference of the circle?
Answer: The arc length of the circle is slightly greater than the side length of the inner square. Therefore circumference of the inner circle is greater than the inner square
Question: 1(a) Find the circumference of the circles with the following radius: (Take )
Answer: We know that
Circumference of a circle is
Therefore, the circumference of the circle is 88 cm
Question: 1(b) Find the circumference of the circles with the following radius: (Take )
Answer: We know that
Circumference of circle is
Therefore, the circumference of the circle is 176 mm
Question: 1(c) Find the circumference of the circles with the following radius: (Take )
Answer: We know that
Circumference of circle is
Therefore, circumference of circle is 132 cm
Question: 2(a) Find the area of the following circles, given that:
(Take )
Answer: We know that
Area of circle is
Therefore, the area of the circle is
Question: 2(b) Find the area of the following circles, given that:
Answer: We know that
Area of circle is
Therefore, area of circle is
Question: 2(c) Find the area of the following circles, given that:
Answer: We know that
Area of circle is
Therefore, the area of the circle is
Question: 3 If the circumference of a circular sheet is find its radius. Also, find the area of the sheet. (Take )
Answer: It is given that circumference of a circular sheet is 154 m
We know that
Circumference of circle is
Now,
Area of circle
Therefore, the radius and area of the circle are 24.5 m and respectively
Answer: It is given that diameter of a circular garden is .
We know that
Circumference of circle is
Now, length of the rope requires to makes rounds of fence is
circumference of circle
Now, cost of rope at is
Therefore, length of the rope requires to makes rounds of fence is 132 m and cost of rope at is Rs 528
Answer: We know that
Area of circle
Area of circular sheet with radius 4 cm
Area of the circular sheet with radius 3 cm
Now,
Area of remaining sheet = Area of circle with radius 4 cm - Area od circle with radius 3 cm
Therefore, Area of remaining sheet is
Answer: It is given that the diameter of a circular table is 1.5m.
We know that
Circumference of circle is
Now, length of the lace required is
circumference of circle
Now, cost of lace at is
Therefore, length of the lace required is 4.71 m and cost of lace at is Rs 70.65
Question: 7 Find the perimeter of the adjoining figure, which is a semicircle including its diameter.
Answer: It is given that the diameter of semi-circle is 10 cm.
We know that
Circumference of semi circle is
Circumference of semi-circle with diameter 10 cm including diameter is
Therefore, Circumference of semi-circle with diameter 10 cm including diameter is 25.7 cm
Question: 8 Find the cost of polishing a circular table-top of diameter , if the rate of polishing is . (Take )
Answer: It is given that the diameter of a circular table is 1.6m.
We know that
Area of circle is
Now, the cost of polishing at is
Therefore, the cost of polishing at is Rs 30.144
Answer: It is given that the length of wire is 44 cm
Now, we know that
Circumference of the circle (C) =
Now,
Area of circle (A) =
- (i)
Now,
Perimeter of square(P) =
Area of sqaure =
-(ii)
From equation (i) and (ii) we can clearly see that area of the circular-shaped wire is more than square-shaped wire
Answer: It is given that radius of circular card sheet is
Now, we know that
Area of circle (A) =
- (i)
Now,
Area of circle with radius 3.5 cm is
Area of two such circle is = -(ii)
Now, Area of rectangle =
-(iii)
Now, the remaining area is (i) - [(ii) + (iii)]
Therefore, area of the remaining sheet is
(Take )
Answer: It is given that the radius of the circle is
Now, we know that
Area of the circle (A) =
- (i)
Now,
Now, Area of square =
-(ii)
Now, the remaining area is (ii) - (i)
Therefore, the area of the remaining aluminium sheet is
Question: 12 The circumference of a circle is . Find the radius and the area of the circle? (Take )
Answer: It is given that circumference of circle is
Now, we know that
Circumference of circle is =
Now, Area of circle (A) =
Therefore, radius and area of the circle are respectively
Answer: It is given that the diameter of the flower bed is
Therefore,
Now, we know that
Area of the circle (A) =
-(i)
Now, Area of outer circle with radius(r ') = 33 + 4 = 37 cm is
-(ii)
Area of the path is equation (ii) - (i)
Therefore, the area of the path is
Answer: It is given that the radius of the sprinkler is
Now, we know that
Area of the circle (A) =
Area cover by sprinkle is
And the area of the flower garden is
Therefore, YES sprinkler water the entire garden
Question:15 Find the circumference of the inner and the outer circles, shown in the adjoining figure? (Take )
Answer: We know that
Circumference of circle =
Now, the circumference of the inner circle with radius (r) = is
And the circumference of the outer circle with radius (r ') = 19 m is
Therefore, the circumference of inner and outer circles are respectively
Question:16 How many times a wheel of radius must rotate to go ? (Take )
Answer: It is given that radius of wheel is
Now, we know that
Circumference of circle =
Now, number of rotation done by wheel to go 352 m is
Therefore, number of rotation done by wheel to go 352 m is 200
Question: 17 The minute hand of a circular clock is long. How far does the tip of the minute hand move in hour. (Take )
Answer: It is given that minute hand of a circular clock is long i.e. ( r = 15 cm)
Now, we know that one hour means a complete circle of minute hand
Now,
Circumference of circle =
Therefore, distance cover by minute hand in one hour is 94.2 cm
Question:(i) Convert the following:
Answer: 1 cm = 10 mm
therefor
Question:(ii) Convert the following:
Answer: ha represents hectare
1 ha is 10000 m 2
therefor
Answer: It is given that the garden is long and broad
It is clear that it is rectangular shaped with
We know that the area of the rectangle is
-(i)
Now, length and breadth of the outer rectangle is
Area of the outer rectangle is
-(ii)
Area of the path is (ii) - (i)
Therefore, the area of the path is
Question: 2 A wide path runs outside and around a rectangular park of length and breadth . Find the area of the path.
Answer: It is given that park is long and broad
It is clear that it is rectangular shaped with
We know that area of rectangle is
-(i)
Now, length and breadth of outer rectangle is
Area of the outer rectangle is
-(ii)
Area of path is (ii) - (i)
Therefore, area of path is
Answer: It is given that cardboard is long and wide such that there is a margin of along each of its sides
It is clear that it is rectangular shaped with
We know that the area of the rectangle is
-(i)
Now, the length and breadth of cardboard without margin is
Area of cardboard without margin is
-(ii)
Area of margin is (i) - (ii)
Therefore, the area of margin is
Question: 4(i) A verandah of width is constructed all along outside a room which is long and wide. Find: the area of the verandah
Answer: It is given that room is long and wide.
It is clear that it is rectangular shaped with
We know that the area of the rectangle is
-(i)
Now, when verandah of width is constructed all along outside the room then length and breadth of the room is
Area of the room after verandah of width is constructed
-(ii)
Area of verandah is (ii) - (i)
Therefore, the area of the verandah is
Question: 4(ii) A verandah of width is constructed all along outside a room which is long and wide. Find: the cost of cementing the floor of the verandah at the rate of .
Answer: It is given that room is long and wide.
It is clear that it is rectangular shaped with
We know that the area of the rectangle is
-(i)
Now, when verandah of width is constructed all along outside the room then length and breadth of the room is
Area of the room after verandah of width is constructed
-(ii)
Area of verandah is (ii) - (i)
Therefore, area of verandah is
Now, the cost of cementing the floor of the verandah at the rate of is
Therefore, cost of cementing the floor of the verandah at the rate of is
Question: 5(i) A path wide is built along the border and inside a square garden of side . Find: the area of the path.
Answer: Is is given that side of square garden is
We know that area of square is =
-(i)
Now, area of square garden without 1 m boarder is
-(ii)
Area of path is (i) - (ii)
Therefore, area of path is
Question: 5(ii) A path wide is built along the border and inside a square garden of side . Find: the cost of planting grass in the remaining portion of the garden at the rate of
Answer: Is given that side of square garden is
We know that area of square is =
-(i)
Now, area of square garden without 1 m boarder is
-(ii)
Area of path is (i) - (ii)
Therefore, area of path is
Now, cost of planting grass in the remaining portion of the garden at the rate of is
Therefore, cost of planting grass in the remaining portion of the garden at the rate of is
Answer:
It is given that width of each road is and the length of rectangular park is and breadth is
Now, We know that area of rectangle is =
Area of total park is
-(i)
Area of road parallell to width of the park ( ABCD ) is
-(ii)
Area of road parallel to length of park ( PQRS ) is
-(iii)
The common area of both the roads ( KMLN ) is
-(iv)
Area of roads =
-(v)
Now, Area of the park excluding crossroads is =
Question: 7(i) Through a rectangular field of length and breadth , two roads are constructed which are parallel to the sides and cut each other at right angles through the centre of the fields. If the width of each road is , find the area covered by the roads.
Answer:
It is given that the width of each road is and length of rectangular park is and breadth is
Now, We know that area of rectangle is =
Area of total park is
-(i)
Area of road parallell to width of the park ( ABCD ) is
-(ii)
Area of road parallel to length of park ( PQRS ) is
-(iii)
The common area of both the roads ( KMLN ) is
-(iv)
Area of roads =
Therefore, the area of road is
Question: 7(ii) Through a rectangular field of length and breadth , two roads are constructed which are parallel to the sides and cut each other at right angles through the centre of the fields. If the width of each road is .find the cost of constructing the roads at the rate of .
Answer:
It is given that the width of each road is and the length of rectangular park is and breadth is
Now, We know that area of rectangle is =
Area of the total park is
-(i)
Area of road parallel to the width of the park ( ABCD ) is
-(ii)
Area of road parallel to the length of park ( PQRS ) is
-(iii)
The common area of both the roads ( KMLN ) is
-(iv)
Area of roads =
Now, the cost of constructing the roads at the rate of is
Therefore, the cost of constructing the roads at the rate of is
Answer: It is given that the radius of the circle is 4 cm
We know that circumference of circle =
And perimeter of the square is
Length of cord left is
Therefore, Length of cord left is
Question: 9(i) The adjoining figure represents a rectangular lawn with a circular flower bed in the middle. Find: the area of the whole land.
Answer: We know that area rectangle is =
Area of rectangular land with length 10 m and width 5 m is
Therefore, area of rectangular land with length 10 m and width 5 m is
Question: 9(ii) The adjoining figure represents a rectangular lawn with a circular flower bed in the middle. Find: the area of the flower bed.
Answer: We know that area of circle is =
Area of flower bed with radius 2 m is
Therefore, area of flower bed with radius 2 m is
Question: 9(iii) The adjoining figure represents a rectangular lawn with a circular flower bed in the middle. Find: the area of the lawn excluding the area of the flower bed.
Answer: Area of the lawn excluding the area of the flower bed = Area of rectangular lawn - Area of flower bed
=
Therefore, area of the lawn excluding the area of the flower bed is
Question: 9(iv) The adjoining figure represents a rectangular lawn with a circular flower bed in the middle. Find: the circumference of the flower bed
Answer: We know that circumference of the circle is =
Circumference of the flower bed with radius 2 m is
Therefore, the circumference of the flower bed with radius 2 m is
Question: 10(i) In the following figure, find the area of the shaded portion:
Answer: Area of shaded portion = Area of the whole rectangle ( ABCD ) - Area of two triangles ( AFE and BCE)
Area of the rectangle with length 18 cm and width 10 cm is
Area of triangle AFE with base 10 cm and height 6 cm is
Area of triangle BCE with base 8 cm and height 10 cm is
Now, Area of the shaded portion is
Question: 10(ii) In the following figure, find the area of the shaded portion:
Answer: Area of shaded portion = Area of the whole square (PQRS) - Area of three triangles ( PTQ, STU and QUR )
Area of the square with side 20cm is
Area of triangle PTQ with base 10 cm and height 20 cm is
Area of triangle STU with base 10 cm and height 10 cm is
Area of triangle QUR with base 20 cm and height 10 cm is
Now, Area of the shaded portion is
Question: 11 Find the area of the quadrilateral . Here, and
Answer: Area of quadrilateral ABCD = Area of triangle ABC + Area of tringle ADC
Area of triangle ABC with base 22 cm and height 3 cm is
Area of triangle ADX with base 22 cm and height 3 cm is
Therefore, the area of quadrilateral ABCD is =
Chapter No. | Chapter Name |
Chapter 1 | |
Chapter 2 | |
Chapter 3 | |
Chapter 4 | |
Chapter 5 | |
Chapter 6 | |
Chapter 7 | |
Chapter 8 | Comparing quantities |
Chapter 9 | |
Chapter 10 | |
Chapter 11 | |
Chapter 12 | |
Chapter 13 | |
Chapter 14 | |
Chapter 15 | Visualising Solid Shapes |
Area of a triangle: If the base length and height of a triangle are given
The perimeter of the triangle:- Perimeter will be equal to the sum the sides of the triangle
a- First side of the triangle
b- Second side of the triangle
c- Third side of the triangle
Area of Circles:-
r-> Radius of the circle
Circumference of Circle:-
r-> Radius of the circle
Area of a parallelogram:
b-> base length
h-> height
Tip- You shouldn't just memorize the formulas, also understand the concept of how these formulas are derived. If you go through solutions of NCERT Solutions for Class 7 , you will understand all these concepts very easily.
Happy Reading!!!
Also Check NCERT Books and NCERT Syllabus here:
Yes the NCERT chapter perimeter and area is important. The concepts studied in this chapter will be used in the coming classes. Therefore you should practice ncert solution for class 7 maths chapter 11. these solutions will help you to get deeper understanding of the concepts. Also you can download perimeter and area class 7 pdf.
The part of the plane or region occupied by a closed figure. The concepts related to area are discussed in chapter 11 maths class 7. Students can download class 7th maths chapter 11 pdf and study both offline and online. you can study class 7 hindi chapter 11 pdf also.
Here is the topics that are covered in NCERT solution Maths Class 7 Chapter11
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Data are collected and examined to respond to questions, evaluate hypotheses or contradict theories. It is a tool for analyzing, transforming, modeling, and arranging data with useful knowledge, to assist in decision-making and methods, encompassing various strategies, and is used in different fields of business, research, and social science.
Individuals who opt for a career as geothermal engineers are the professionals involved in the processing of geothermal energy. The responsibilities of geothermal engineers may vary depending on the workplace location. Those who work in fields design facilities to process and distribute geothermal energy. They oversee the functioning of machinery used in the field.
Individuals who opt for a career as a remote sensing technician possess unique personalities. Remote sensing analysts seem to be rational human beings, they are strong, independent, persistent, sincere, realistic and resourceful. Some of them are analytical as well, which means they are intelligent, introspective and inquisitive.
Remote sensing scientists use remote sensing technology to support scientists in fields such as community planning, flight planning or the management of natural resources. Analysing data collected from aircraft, satellites or ground-based platforms using statistical analysis software, image analysis software or Geographic Information Systems (GIS) is a significant part of their work. Do you want to learn how to become remote sensing technician? There's no need to be concerned; we've devised a simple remote sensing technician career path for you. Scroll through the pages and read.
The role of geotechnical engineer starts with reviewing the projects needed to define the required material properties. The work responsibilities are followed by a site investigation of rock, soil, fault distribution and bedrock properties on and below an area of interest. The investigation is aimed to improve the ground engineering design and determine their engineering properties that include how they will interact with, on or in a proposed construction.
The role of geotechnical engineer in mining includes designing and determining the type of foundations, earthworks, and or pavement subgrades required for the intended man-made structures to be made. Geotechnical engineering jobs are involved in earthen and concrete dam construction projects, working under a range of normal and extreme loading conditions.
How fascinating it is to represent the whole world on just a piece of paper or a sphere. With the help of maps, we are able to represent the real world on a much smaller scale. Individuals who opt for a career as a cartographer are those who make maps. But, cartography is not just limited to maps, it is about a mixture of art, science, and technology. As a cartographer, not only you will create maps but use various geodetic surveys and remote sensing systems to measure, analyse, and create different maps for political, cultural or educational purposes.
Budget analysis, in a nutshell, entails thoroughly analyzing the details of a financial budget. The budget analysis aims to better understand and manage revenue. Budget analysts assist in the achievement of financial targets, the preservation of profitability, and the pursuit of long-term growth for a business. Budget analysts generally have a bachelor's degree in accounting, finance, economics, or a closely related field. Knowledge of Financial Management is of prime importance in this career.
The invention of the database has given fresh breath to the people involved in the data analytics career path. Analysis refers to splitting up a whole into its individual components for individual analysis. Data analysis is a method through which raw data are processed and transformed into information that would be beneficial for user strategic thinking.
Data are collected and examined to respond to questions, evaluate hypotheses or contradict theories. It is a tool for analyzing, transforming, modeling, and arranging data with useful knowledge, to assist in decision-making and methods, encompassing various strategies, and is used in different fields of business, research, and social science.
A Product Manager is a professional responsible for product planning and marketing. He or she manages the product throughout the Product Life Cycle, gathering and prioritising the product. A product manager job description includes defining the product vision and working closely with team members of other departments to deliver winning products.
An Investment Banking career involves the invention and generation of capital for other organizations, governments, and other entities. Individuals who opt for a career as Investment Bankers are the head of a team dedicated to raising capital by issuing bonds. Investment bankers are termed as the experts who have their fingers on the pulse of the current financial and investing climate. Students can pursue various Investment Banker courses, such as Banking and Insurance, and Economics to opt for an Investment Banking career path.
An underwriter is a person who assesses and evaluates the risk of insurance in his or her field like mortgage, loan, health policy, investment, and so on and so forth. The underwriter career path does involve risks as analysing the risks means finding out if there is a way for the insurance underwriter jobs to recover the money from its clients. If the risk turns out to be too much for the company then in the future it is an underwriter who will be held accountable for it. Therefore, one must carry out his or her job with a lot of attention and diligence.
Individuals in the operations manager jobs are responsible for ensuring the efficiency of each department to acquire its optimal goal. They plan the use of resources and distribution of materials. The operations manager's job description includes managing budgets, negotiating contracts, and performing administrative tasks.
Welding Engineer Job Description: A Welding Engineer work involves managing welding projects and supervising welding teams. He or she is responsible for reviewing welding procedures, processes and documentation. A career as Welding Engineer involves conducting failure analyses and causes on welding issues.
A career as Transportation Planner requires technical application of science and technology in engineering, particularly the concepts, equipment and technologies involved in the production of products and services. In fields like land use, infrastructure review, ecological standards and street design, he or she considers issues of health, environment and performance. A Transportation Planner assigns resources for implementing and designing programmes. He or she is responsible for assessing needs, preparing plans and forecasts and compliance with regulations.
An expert in plumbing is aware of building regulations and safety standards and works to make sure these standards are upheld. Testing pipes for leakage using air pressure and other gauges, and also the ability to construct new pipe systems by cutting, fitting, measuring and threading pipes are some of the other more involved aspects of plumbing. Individuals in the plumber career path are self-employed or work for a small business employing less than ten people, though some might find working for larger entities or the government more desirable.
Individuals who opt for a career as construction managers have a senior-level management role offered in construction firms. Responsibilities in the construction management career path are assigning tasks to workers, inspecting their work, and coordinating with other professionals including architects, subcontractors, and building services engineers.
Urban Planning careers revolve around the idea of developing a plan to use the land optimally, without affecting the environment. Urban planning jobs are offered to those candidates who are skilled in making the right use of land to distribute the growing population, to create various communities.
Urban planning careers come with the opportunity to make changes to the existing cities and towns. They identify various community needs and make short and long-term plans accordingly.
Highway Engineer Job Description: A Highway Engineer is a civil engineer who specialises in planning and building thousands of miles of roads that support connectivity and allow transportation across the country. He or she ensures that traffic management schemes are effectively planned concerning economic sustainability and successful implementation.
Individuals who opt for a career as an environmental engineer are construction professionals who utilise the skills and knowledge of biology, soil science, chemistry and the concept of engineering to design and develop projects that serve as solutions to various environmental problems.
A Naval Architect is a professional who designs, produces and repairs safe and sea-worthy surfaces or underwater structures. A Naval Architect stays involved in creating and designing ships, ferries, submarines and yachts with implementation of various principles such as gravity, ideal hull form, buoyancy and stability.
Orthotists and Prosthetists are professionals who provide aid to patients with disabilities. They fix them to artificial limbs (prosthetics) and help them to regain stability. There are times when people lose their limbs in an accident. In some other occasions, they are born without a limb or orthopaedic impairment. Orthotists and prosthetists play a crucial role in their lives with fixing them to assistive devices and provide mobility.
A career in pathology in India is filled with several responsibilities as it is a medical branch and affects human lives. The demand for pathologists has been increasing over the past few years as people are getting more aware of different diseases. Not only that, but an increase in population and lifestyle changes have also contributed to the increase in a pathologist’s demand. The pathology careers provide an extremely huge number of opportunities and if you want to be a part of the medical field you can consider being a pathologist. If you want to know more about a career in pathology in India then continue reading this article.
Gynaecology can be defined as the study of the female body. The job outlook for gynaecology is excellent since there is evergreen demand for one because of their responsibility of dealing with not only women’s health but also fertility and pregnancy issues. Although most women prefer to have a women obstetrician gynaecologist as their doctor, men also explore a career as a gynaecologist and there are ample amounts of male doctors in the field who are gynaecologists and aid women during delivery and childbirth.
An oncologist is a specialised doctor responsible for providing medical care to patients diagnosed with cancer. He or she uses several therapies to control the cancer and its effect on the human body such as chemotherapy, immunotherapy, radiation therapy and biopsy. An oncologist designs a treatment plan based on a pathology report after diagnosing the type of cancer and where it is spreading inside the body.
The audiologist career involves audiology professionals who are responsible to treat hearing loss and proactively preventing the relevant damage. Individuals who opt for a career as an audiologist use various testing strategies with the aim to determine if someone has a normal sensitivity to sounds or not. After the identification of hearing loss, a hearing doctor is required to determine which sections of the hearing are affected, to what extent they are affected, and where the wound causing the hearing loss is found. As soon as the hearing loss is identified, the patients are provided with recommendations for interventions and rehabilitation such as hearing aids, cochlear implants, and appropriate medical referrals. While audiology is a branch of science that studies and researches hearing, balance, and related disorders.
The hospital Administrator is in charge of organising and supervising the daily operations of medical services and facilities. This organising includes managing of organisation’s staff and its members in service, budgets, service reports, departmental reporting and taking reminders of patient care and services.
For an individual who opts for a career as an actor, the primary responsibility is to completely speak to the character he or she is playing and to persuade the crowd that the character is genuine by connecting with them and bringing them into the story. This applies to significant roles and littler parts, as all roles join to make an effective creation. Here in this article, we will discuss how to become an actor in India, actor exams, actor salary in India, and actor jobs.
Individuals who opt for a career as acrobats create and direct original routines for themselves, in addition to developing interpretations of existing routines. The work of circus acrobats can be seen in a variety of performance settings, including circus, reality shows, sports events like the Olympics, movies and commercials. Individuals who opt for a career as acrobats must be prepared to face rejections and intermittent periods of work. The creativity of acrobats may extend to other aspects of the performance. For example, acrobats in the circus may work with gym trainers, celebrities or collaborate with other professionals to enhance such performance elements as costume and or maybe at the teaching end of the career.
Career as a video game designer is filled with excitement as well as responsibilities. A video game designer is someone who is involved in the process of creating a game from day one. He or she is responsible for fulfilling duties like designing the character of the game, the several levels involved, plot, art and similar other elements. Individuals who opt for a career as a video game designer may also write the codes for the game using different programming languages.
Depending on the video game designer job description and experience they may also have to lead a team and do the early testing of the game in order to suggest changes and find loopholes.
Radio Jockey is an exciting, promising career and a great challenge for music lovers. If you are really interested in a career as radio jockey, then it is very important for an RJ to have an automatic, fun, and friendly personality. If you want to get a job done in this field, a strong command of the language and a good voice are always good things. Apart from this, in order to be a good radio jockey, you will also listen to good radio jockeys so that you can understand their style and later make your own by practicing.
A career as radio jockey has a lot to offer to deserving candidates. If you want to know more about a career as radio jockey, and how to become a radio jockey then continue reading the article.
The word “choreography" actually comes from Greek words that mean “dance writing." Individuals who opt for a career as a choreographer create and direct original dances, in addition to developing interpretations of existing dances. A Choreographer dances and utilises his or her creativity in other aspects of dance performance. For example, he or she may work with the music director to select music or collaborate with other famous choreographers to enhance such performance elements as lighting, costume and set design.
A multimedia specialist is a media professional who creates, audio, videos, graphic image files, computer animations for multimedia applications. He or she is responsible for planning, producing, and maintaining websites and applications.
A career as social media manager involves implementing the company’s or brand’s marketing plan across all social media channels. Social media managers help in building or improving a brand’s or a company’s website traffic, build brand awareness, create and implement marketing and brand strategy. Social media managers are key to important social communication as well.
In a career as a copywriter, one has to consult with the client and understand the brief well. A career as a copywriter has a lot to offer to deserving candidates. Several new mediums of advertising are opening therefore making it a lucrative career choice. Students can pursue various copywriter courses such as Journalism, Advertising, Marketing Management. Here, we have discussed how to become a freelance copywriter, copywriter career path, how to become a copywriter in India, and copywriting career outlook.
Careers in journalism are filled with excitement as well as responsibilities. One cannot afford to miss out on the details. As it is the small details that provide insights into a story. Depending on those insights a journalist goes about writing a news article. A journalism career can be stressful at times but if you are someone who is passionate about it then it is the right choice for you. If you want to know more about the media field and journalist career then continue reading this article.
For publishing books, newspapers, magazines and digital material, editorial and commercial strategies are set by publishers. Individuals in publishing career paths make choices about the markets their businesses will reach and the type of content that their audience will be served. Individuals in book publisher careers collaborate with editorial staff, designers, authors, and freelance contributors who develop and manage the creation of content.
In a career as a vlogger, one generally works for himself or herself. However, once an individual has gained viewership there are several brands and companies that approach them for paid collaboration. It is one of those fields where an individual can earn well while following his or her passion.
Ever since internet costs got reduced the viewership for these types of content has increased on a large scale. Therefore, a career as a vlogger has a lot to offer. If you want to know more about the Vlogger eligibility, roles and responsibilities then continue reading the article.
Individuals in the editor career path is an unsung hero of the news industry who polishes the language of the news stories provided by stringers, reporters, copywriters and content writers and also news agencies. Individuals who opt for a career as an editor make it more persuasive, concise and clear for readers. In this article, we will discuss the details of the editor's career path such as how to become an editor in India, editor salary in India and editor skills and qualities.
Linguistic meaning is related to language or Linguistics which is the study of languages. A career as a linguistic meaning, a profession that is based on the scientific study of language, and it's a very broad field with many specialities. Famous linguists work in academia, researching and teaching different areas of language, such as phonetics (sounds), syntax (word order) and semantics (meaning).
Other researchers focus on specialities like computational linguistics, which seeks to better match human and computer language capacities, or applied linguistics, which is concerned with improving language education. Still, others work as language experts for the government, advertising companies, dictionary publishers and various other private enterprises. Some might work from home as freelance linguists. Philologist, phonologist, and dialectician are some of Linguist synonym. Linguists can study French, German, Italian.
The career of a travel journalist is full of passion, excitement and responsibility. Journalism as a career could be challenging at times, but if you're someone who has been genuinely enthusiastic about all this, then it is the best decision for you. Travel journalism jobs are all about insightful, artfully written, informative narratives designed to cover the travel industry. Travel Journalist is someone who explores, gathers and presents information as a news article.
Welding Engineer Job Description: A Welding Engineer work involves managing welding projects and supervising welding teams. He or she is responsible for reviewing welding procedures, processes and documentation. A career as Welding Engineer involves conducting failure analyses and causes on welding issues.
A quality controller plays a crucial role in an organisation. He or she is responsible for performing quality checks on manufactured products. He or she identifies the defects in a product and rejects the product.
A quality controller records detailed information about products with defects and sends it to the supervisor or plant manager to take necessary actions to improve the production process.
A Product Manager is a professional responsible for product planning and marketing. He or she manages the product throughout the Product Life Cycle, gathering and prioritising the product. A product manager job description includes defining the product vision and working closely with team members of other departments to deliver winning products.
A QA Lead is in charge of the QA Team. The role of QA Lead comes with the responsibility of assessing services and products in order to determine that he or she meets the quality standards. He or she develops, implements and manages test plans.
A metallurgical engineer is a professional who studies and produces materials that bring power to our world. He or she extracts metals from ores and rocks and transforms them into alloys, high-purity metals and other materials used in developing infrastructure, transportation and healthcare equipment.
An Azure Administrator is a professional responsible for implementing, monitoring, and maintaining Azure Solutions. He or she manages cloud infrastructure service instances and various cloud servers as well as sets up public and private cloud systems.
An AWS Solution Architect is someone who specializes in developing and implementing cloud computing systems. He or she has a good understanding of the various aspects of cloud computing and can confidently deploy and manage their systems. He or she troubleshoots the issues and evaluates the risk from the third party.
Careers in computer programming primarily refer to the systematic act of writing code and moreover include wider computer science areas. The word 'programmer' or 'coder' has entered into practice with the growing number of newly self-taught tech enthusiasts. Computer programming careers involve the use of designs created by software developers and engineers and transforming them into commands that can be implemented by computers. These commands result in regular usage of social media sites, word-processing applications and browsers.
A Product Manager is a professional responsible for product planning and marketing. He or she manages the product throughout the Product Life Cycle, gathering and prioritising the product. A product manager job description includes defining the product vision and working closely with team members of other departments to deliver winning products.
Individuals in the information security manager career path involves in overseeing and controlling all aspects of computer security. The IT security manager job description includes planning and carrying out security measures to protect the business data and information from corruption, theft, unauthorised access, and deliberate attack
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