A sector of 120, cut out from a circle, has an area of \(\frac{66}7cm^2\) Find the radius of the circle ?

A sector of 120, cut out from a circle, has an area of \(\frac{66}7cm^2\) Find the radius of the circle ?

A 1

B 2

C 3

D 4

Solution

Correct Answer: Option C

Let the radius of the circle be r cm. Then,

\(\frac{120}{360}\mathrm{πr}^2=\frac{66}7\)

\(r^2=\frac{66}7\ast\frac7{22}\ast3\)

r=3.