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Math·Geometry and Trigonometry·Area and volume

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Each circle shown in the $xy$-plane above has center $(-2,2)$, and their radii are $4$ and $6$. What is the area of the shaded region?

A

$4\pi$

B

$\frac{9}{2}\pi$

C

$5\pi$

D

$\frac{13}{2}\pi$