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In the diagram above, O is the center of the circle of radius 3.5cm, ∠POQ...

Mathematics
WAEC 1996

In the diagram above, O is the center of the circle of radius 3.5cm, ∠POQ = 60°. What is the area of the minor sector POQ?

[Take π = 22/7].

 

 

 

 

  • A. 1481/2cm2
  • B. 77cm2
  • C. 321/12cm2
  • D. 65/12cm2
  • E. 15/6cm2
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Correct Answer: Option D
Explanation

Area of sector = \(\frac{\theta}{360°} \times \pi r^2\)

= \(\frac{60}{360} \times \frac{22}{7} \times 3.5 \times 3.5\)

= \(\frac{77}{12}\)

= \(6\frac{5}{12}\) cm\(^2\)


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