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SAT® Math

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Moderate

A Sector Created by a Square

SATMAT-TK1SNU

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Circle $O$ is circumscribed about square $ABCD$. If $BC=8$, then what is the area of the shaded sector bounded by points $A,B$, and $O$, as shown in the figure above?

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A

$ 4\pi $

B

$ 8\pi $

C

$ 16\pi $

D

$ 24\pi $