Question 28

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Jambmaths question: 

Calculate the length of an arc of a circle of diameter 14cm which subtends an angle of 90o at the centre of the circle

Option A: 

$\tfrac{7\pi }{4}cm$

Option B: 

$\tfrac{7\pi }{2}cm$

Option C: 

$7\pi cm$

Option D: 

14cm

Jamb Maths Solution: 

$\begin{align}  & \text{length of arc}=l=\frac{\theta }{360}\times \pi d\text{    (}d=diameter) \\ & l=\frac{90}{360}\times 7\pi =\frac{7\pi }{4}cm \\\end{align}$

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