In the figure above, \(OPQR\) is a square. If \(O\) is the center of the circle, and the distance between point \(P\)

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2019-04-30_1237.png
In the figure above, \(OPQR\) is a square. If \(O\) is the center of the circle, and the distance between point \(P\) and point \(R\) is \(4\sqrt2,\) what is the area of the shaded region?

A. \(16 - 8\pi\)
B. \(16 - 4\pi\)
C. \(32 - 8\pi\)
D. \(32 - 2\pi\)
E. \(64 - 12\pi\)

[spoiler]OA=B[/spoiler]

Source: Princeton Review
Source: — Problem Solving |