Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • Find the degree measure of the angle subtended at the centre of a circle of radius 100 cm by an arc of length 22 cm (use pi = 22/7)

Q (4)  Find the degree measure of the angle subtended at the centre of a circle of radius 100 cm by an arc of length 22 cm  (use \small \pi =\frac{22}{7} ) 

Answers (1)

Solution 

We know that 
l = r\Theta     ( where l is the length of the arc, r is the radius of the circle and \Theta is the angle subtended)

here    r = 100 cm 
   and  l = 22 cm 
Now,
               \Theta = \frac{l}{r} = \frac{22}{100}radian

We know that 
             \pi radian = 180\degree\\ \\So, 1radian = \frac{180}{\pi}degree\\ \\ \therefore \frac{22}{100}radian = \frac{180}{\pi}\times\frac{22}{100}degree\Rightarrow \frac{180\times7}{22}\times\frac{22}{100} = \frac{63}{5}degree \\ \\ So, \\ \\\frac{63}{5}degree = 12\frac{3}{5}degree = 12\degree + \frac{3\times60}{5}minute = 12\degree + 36'\\ \\ \therefore \frac{63}{5}degree = 12 \degree36' 
So, 
            Angle subtended at the centre of a circle       \Theta = 12\degree36'

Posted by

Safeer PP

View full answer

Crack CUET with india's "Best Teachers"

  • HD Video Lectures
  • Unlimited Mock Tests
  • Faculty Support
cuet_ads

Similar Questions

Trending Articles/News

anam-khan

CBSE extends single girl child scholarship registration deadline till November 20
anam-khan

CBSE reminds schools to submit registration data of Class 9, 11 students by October 16
anam-khan

CBSE reopens online portal for submission of LOC for Class 10, 12 board exams 2026; submit forms by Oct 8

Latest Question