In the diagram below, O is the center if the two concentric circle of radii...

MATHEMATICS
WAEC 1998

In the diagram below, O is the center if the two concentric circle of radii 13cm and 10cm respectively. Find the area of the shaded portion in the sector with angle 1200 at the center

  • A. \(\frac{1}{3}\pi cm^2\)
  • B. \(\pi cm^2\)
  • C. \(3\pi cm^2\)
  • D. \(23\pi cm^2\)

Correct Answer: D. \(23\pi cm^2\)

Explanation

\(\frac{120\pi}{360}(R^2 - r^2)\\

\frac{1}{3}\times \pi (13^2 - 10^2)\\

\frac{1}{3}\times \pi \times 69 = 23\pi cm^2\)



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