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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