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In the diagram O is the center of circle PRQ. The radius is 3.5cm and...

Mathematics
WAEC 1998

In the diagram O is the center of circle PRQ. The radius is 3.5cm and ∠POQ = 50o. Use the diagram to answer question below. (take π = 3.142)
Calculate, correct to three significant figures, the area of sector OPQ

  • A. 3.403cm2
  • B. 5.350cm2
  • C. 10.99cm2
  • D. 157.1cm2
  • E. 175.0cm2
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Correct Answer: Option B
Explanation

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

Area of a sector = \(\frac{50}{360}\) x 3.142 x 3.5 x 3.5

                           = \(\frac{50 \times 3.142\times 3.5 \times 3.5}{360}\)

                          = \(\frac{1924.475}{360}\) ≈ 5.346cm\(^2\)


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