Question 24

Jambmaths question: 

Calculate the perimeter of a sector a circle of radius 9cm and angle 36o

Option A: 

18

Option B: 

$(18+\tfrac{9\pi }{5})cm$

Option C: 

$(9+\tfrac{9\pi }{5})cm$

Option D: 

$\tfrac{9\pi }{5}cm$

Jamb Maths Solution: 

$\begin{align}  & P=\frac{\theta }{360}\times 2\pi r+2r\text{  (perimeter of a sector)} \\ & P=\frac{{{36}^{\circ }}}{{{360}^{\circ }}}\times 2\pi \times 9+2\times 9 \\ & P=\left( \frac{9\pi }{5}+18 \right)cm \\\end{align}$

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