NCERT Solutions for Class 10 Maths Chapter 12 Areas Related to Circles

NCERT Solutions for Class 10 Maths Chapter 12 Areas Related to Circles-

In this chapter, we will study areas related to circles. This topic is a part of Mensuration unit, and this Unit holds 10 marks in the CBSE Class 10 Board exam. In the final examination of mathematics, one question sometimes being asked from this topic. In this chapter, there is a total of 3 exercises with 35 questions in them. The NCERT Solutions for Class 10 Maths Chapter 12 Areas Related to Circles are solved by our maths experts to help students in the preparation of CBSE Class 10 Board exam. These NCERT solutions are the step-by-step explanation of each and every question of class 10 maths NCERT textbook.

NCERT Solutions for Class 10 Maths Chapter 12 Areas Related to Circles starts with the concepts of the perimeter(circumference) and the area of a circle. In our previous classes, we already discuss some methods of finding the areas and perimeters of some simple figures such as rectangles, squares, triangles, parallelograms and circles. In our daily life, we come across many objects which are related to the circular shapes in some form or another form. Cycle wheels, dartboard, round cake, drain cover, bangles, circular paths, etc. are some examples of such objects. So, the problem of finding areas and perimeters related to circular shapes is of great practical importance. The three exercises of Class 10 Maths Chapter 12 Areas Related to Circles that contain questions on area of a circle and apply this knowledge in finding the areas of two special ‘parts’ of a circle known as sector and segment.

In Chapter 12 Areas Related to Circles, we will study the following points-

•  Circumference of a circle = $2\pi r$.
•  Area of a circle = $\pi r^2$.
•  Area of a sector of a circle with radius $\dpi{100} 'r'$ and angle with degree measure $\theta$ is  $\dpi{100} \frac{\theta }{360}\times \pi r^2$.
• Length of an arc of a sector of a circle with radius $\dpi{100} 'r'$ and angle with degree measure $\theta$ is  $\dpi{100} \frac{\theta }{360}\times 2\pi r$
• Area of the segment of a circle= Area of the corresponding sector – Area of the corresponding triangle.

Topics of NCERT Grade 10 Maths Chapter 12 Areas Related to Circles-

12.1 Introduction

12.2 Perimeter and Area of a Circle — A Review

12.3 Areas of Sector and Segment of a Circle

12.4 Areas of Combinations of Plane Figures

12.5 Summary

The Complete Solutions of NCERT Class 10 Mathematics Chapter 12 is provided below:

NCERT Solutions for Class 10 Maths Chapter 12 Areas Related to Circles - Exercise 12.1

NCERT Solutions for Class 10 Maths Chapter 12 Areas Related to Circles - Exercise 12.2

NCERT Solutions for Class 10 Maths Chapter 12 Areas Related to Circles - Exercise 12.3

NCERT Solutions for Class 10 Maths - Chapter-wise

 Chapter No. Chapter Name Chapter 1 Real Numbers Chapter 2 Polynomials Chapter 3 Pair of Linear Equations in Two Variables Chapter 4 Quadratic Equations Chapter 5 Arithmetic Progressions Chapter 6 Triangles Chapter 7 Coordinate Geometry Chapter 8 Introduction to Trigonometry Chapter 9 Some Applications of Trigonometry Chapter 10 Circles Chapter 11 Constructions Chapter 13 Surface Areas and Volumes Chapter 14 Statistics Chapter 15 Probability

NCERT Solutions for Class 10 - Subject Wise

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