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XOY is a real sector of a circle center O of radius 3.5cm which subtends...

Mathematics
WAEC 2005

XOY is a real sector of a circle center O of radius 3.5cm which subtends an angle of 144o at the center. Calculate, in term of \(\pi\), the area of the sector

  • A. 1.4\(\pi\)cm2
  • B. 2.8\(\pi\)cm2
  • C. 4.9\(\pi\)cm2
  • D. 9.8\(\pi\)cm2
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Correct Answer: Option C
Explanation

Area of a sector \(=\frac{\theta}{360}\times \pi r^2\\
\left(\frac{144}{360}\times \pi \times \frac{3.5}{1} \times 3.5\right)cm^2 = 4.9\pi cm^2\)


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