Question 30

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waecmaths question: 

An arc of a circle of radius 14cm subtends angle 300o at the centre. Find the perimeter of the sector formed by the arc (Take$\pi =\tfrac{22}{7}$)

Option A: 

14.67cm

Option B: 

42.67cm

Option C: 

101.33cm

Option D: 

513.33cm

waecmaths solution: 

$\begin{align}  & Perimeter=\frac{\theta }{{{360}^{\circ }}}\times 2\pi r+2r \\ & Perimeter=\left[ \frac{{{300}^{\circ }}}{{{360}^{\circ }}}\times 2\times \frac{22}{7}\times 14+2(14) \right]cm=(73\tfrac{1}{3}+28)cm=101.33cm \\\end{align}$

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