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An arc of the length 16\(\pi\)cm subtends an angle of 80

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.

A.

24cm

B.

28cm

C.

36cm

D.

32cm

View answer & explanation

Correct answer is C

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

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