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An arc of the length 16 pi cm subtends an angle... - JAMB Mathematics 2016 Question

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
Ask EduPadi AI...
Correct Option: 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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