Mathematics
JAMB 2016
An arc of the length 16\(\pi\)cm subtends an angle of 80
o at the centre of the circle. Find the radius of the circle.
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A.
24cm
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B.
28cm
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C.
36cm
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D.
32cm
Correct Answer: Option C
Explanation
L = \(\frac{\theta}{360}\) x 2\(\pi\)r
16\(\pi\) = \(\frac{80}{360}\) x 2\(\pi\)r
\(\frac{16\pi \times 360}{80 \times 2\pi}\) = r
r = 36cm
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