Question 37

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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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