Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • In a circle of diameter 40 cm, the length of a chord is 20 cm. Find the length of minor arc of the chord.

Q (5) In a circle of diameter 40 cm, the length of a chord is 20 cm. Find the length of the minor arc of the chord.

Answers (1)

Given:- radius (r)of circle = 
length of chord = 20 cm 

We know that 
\theta = \frac{l}{r}                                      (r = 20cm , l = ? , \theta = ?)

Now, 
                                                             

 

 

 

 

 

AB is the chord of length 20cm and OA and OB are radii of circle 20 cm each
The angle subtended by OA and OB at the centre = \theta
\because  OA = OB = AB 
\therefore   \DeltaOAB is an equilateral triangle
So, each angle equilateral is 60\degree
\therefore \theta = 60\degree  = \frac{\pi}{3}radian
Now, we have \theta and r 
So, 
  l = r\theta = 20\times\frac{\pi}{3}=\frac{20\pi}{3}
\therefore the length of the minor arc of the chord (l) = \frac{20\pi}{3}  cm

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

PM Modi's Pariksha Pe Charcha 2025 to be held next month, registrations open till January 14
anam-khan

CBSE Board Exams 2025: Online portal for availing exemptions by CWSN students opens
anam-khan

Board Exams: States agree to equivalence; no question paper ‘jumbling’ from next year, says PARAKH CEO

Latest Question