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In the diagram above, O is the center if the two concentric circle of radii…

In the diagram above, 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.
    (3pi cm^2)
  • D.
    (23pi cm^2)
  • E.
    (46pi cm^2)
Correct Answer: Option D
Explanation

(frac{120pi}{360}(R^2 – r^2)\
frac{1}{3}times pi (13^2 – 10^2)\
frac{1}{3}times pi times 69 = 23pi cm^2)