An arc of the length 16π π cm subtends an angle of 80o at the centre of the circle. Find the radius of the circle.

An arc of the length 16$\pi$cm subtends an angle of 80o at the centre of the circle. Find the radius of the circle.

Answer Details

L = $\frac{\theta }{360}$ x 2$\pi$r
16$\pi$ = $\frac{80}{360}$ x 2$\pi$r
$\frac{16\pi \times 360}{80\times 2\pi }$ = r
r = 36cm