Question 47

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waecmaths question: 

Two circles have radii 16cm and 23cm. What is the difference between their circumferences? (take $\pi =\tfrac{22}{7}$)

Option A: 

244.92cm

Option B: 

149.92cm

Option C: 

44.00cm

Option D: 

43.96cm

waecmaths solution: 

Circumference of a circle is given by 2πr

The difference between the two circumferences of the circle will be

$2\pi {{r}_{2}}-2\pi {{r}_{1}}=2\pi ({{r}_{2}}-{{r}_{1}})=2\times \tfrac{22}{7}(23-16)cm=2\times \tfrac{22}{7}\times 7cm=44cm$

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