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
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
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
Source: Myschool Past Questions Archive (Record #44836)