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
Correct Answer: Option C
Explanation
L = (frac{theta}{360}) x 2(pi)r
16(pi) = (frac{80}{360}) x 2(pi)r
(frac{16pi times 360}{80 times 2pi}) = r
r = 36cm
There is an explanation video available below.