Jambmaths question:
An arc of the length 16π cm subtends an angle of 80o at the centre of the circle. Find the radius of the circle
Option A:
24cm
Option B:
28cm
Option C:
36cm
Option D:
32cm
Jamb Maths Solution:
$\begin{align} & l=\frac{\theta }{{{360}^{\circ }}}\times 2\pi r\text{ (length of an arc)} \\ & 16\pi cm=\frac{{{80}^{\circ }}}{{{360}^{\circ }}}\times 2\pi r \\ & r=\frac{16\pi cm\times {{360}^{\circ }}}{{{80}^{\circ }}\times 2\pi }=36cm \\\end{align}$
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