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Circle Segment and Area

ACTMAT-YLEJXN

The figure below shows a “segment” of a circle, with arc ACB, chord $ {\overline{AB}} $, and segment $ {\overline{CD}} $, a perpendicular bisector of $ {\overline{AB}} $.

If $CD = 4$ and $AB = 16$, what is the area of the entire circle?

A

$ 16\pi $

B

$ 25\pi $

C

$ 36\pi $

D

$ 49\pi $

E

$ 100\pi $