Question 14

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waecmaths question: 

A sector of a circle with radius 6cm subtends an angle of 60o at the centre. Calculate its perimeter in terms of π

Option A: 

2(π +8)cm

Option B: 

2(π +3)cm

Option C: 

2(π +2)cm

Option D: 

(π +12)cm

waecmaths solution: 

$\begin{align}  & r=6cm \\ & \theta ={{60}^{\circ }} \\ & Perimeter=2r+\left( \frac{\theta }{{{360}^{\circ }}}\times 2\pi r \right)=2\times 6+\left( \frac{60}{{{360}^{\circ }}}\times 2\pi \times 6cm \right) \\ & Perimeter=(12+2\pi )cm=2(6+\pi )cm \\\end{align}$

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