Question 35

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waecmaths question: 

An arc of a circle, radius 14cm is 18.33cm long Calculate correct to the nearest degree, the angle which the arc subtends at the centre of the circle Take$\pi=\tfrac{22}{7}$

Option A: 

31o

Option B: 

20o

Option C: 

22o

Option D: 

75o

waecmaths solution: 

$\begin{align}  & 18.33=\frac{\theta }{360}\times 2\times \frac{22}{7}\times 14 \\ & \theta =\frac{7\times {{360}^{\circ }}\times 18.33}{22\times 14\times 2}\approx {{75}^{\circ }} \\\end{align}$

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