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The diagram shows an arc MN of a circle, centre O, with 10cm. If <...

Mathematics
WAEC 2006
The diagram shows an arc MN of a circle, centre O, with 10cm. If < MON = 72o. calculate the length of the arc, correct to three significant figures. [Take \(\pi = \frac{22}{7}\)]
  • A. 6.28cm
  • B. 12.6cm
  • C. 22.6cm
  • D. 62.8cm
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Correct Answer: Option B
Explanation
Length of arc = \(\frac{\theta}{360 \times 2 \pi r}\)

= \(\frac{72}{360} \times 2 \times \frac{22}{7} \times 10\)cm

= 12.57

= 12.6cm(3 s.f)
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