Question 40

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waecmaths question: 

The diagram shows an arc MN of a circle centre O, with radius 10cm, If $\angle MON={{72}^{\circ }}$ Calculate the length of the arc, correct to three significant figures. [Take $\pi =\tfrac{22}{7}$]

Option A: 

6.28cm

Option B: 

12.6cm

Option C: 

22.6cm

Option D: 

62.8cm

waecmaths solution: 

$length\text{ }of\text{ }arc=\frac{\theta }{{{360}^{\circ }}}\times 2\pi r=\frac{{{72}^{{}^\circ }}}{{{360}^{{}^\circ }}}\times 2\times \frac{22}{7}\times 10=12.57cm\simeq 12.6cm$

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