waecmaths question:
XY is a chord of circle centre O and radius 7. The chord XY which is 8cm long subtends an angle of 120o at the centre of the circle . Calculate perimeter of the minor segment[Take $\pi =\tfrac{22}{7}$]
Option A:
14.67cm
Option B:
22.67cm
Option C:
29.33
Option D:
37.35cm
waecmaths solution:
$\begin{align} & \text{Length of the arc}=\frac{{{120}^{\circ }}}{{{360}^{\circ }}}\times 2\times \frac{22}{7}\times 7=14.67 \\ & \text{The length of the minor segment}=\text{length of the arc}+\text{ length of the chord} \\ & \text{The length of the minor segment}=14.67+8=22.67 \\\end{align}$
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