waecmaths question:
An arc of a circle, radius 14cm is 18.33cm long Calculate correct to the nearest degree, the angle which the arc subtends at the centre of the circle Take$\pi=\tfrac{22}{7}$
Option A:
31o
Option B:
20o
Option C:
22o
Option D:
75o
waecmaths solution:
$\begin{align} & 18.33=\frac{\theta }{360}\times 2\times \frac{22}{7}\times 14 \\ & \theta =\frac{7\times {{360}^{\circ }}\times 18.33}{22\times 14\times 2}\approx {{75}^{\circ }} \\\end{align}$
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