Question

The arc length of a sector is $66$ cm and the central angle is ${30}^o$. Find its radius.

Answer 1

Length of any arc is given by

$l=r\theta$

Given $l=66cm,\theta ={30}^{\circ }=\frac{\pi }{6}$

$⟹r=\frac{66}{22}\times 7\times 6=126cm$