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UKMT Intermediate Mathematical Challenge, 2021

Geometry Difficulty 3.0 AMC 10/12 Find the answer United Kingdom

The diagram shows a semicircle with centre $O$ and radius 2 and a semicircular arc with diameter $PR$ . Angle $POR$ is a right angle. What is the area of the shaded region?

(A) $\pi - 2$ (B) $2$ (C) $\pi$ (D) $3$ (E) $2\pi - 2$

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