Triangle ACE is equilateral with side lengths of 8. Points B and D are the midpoints of line segments AC and CE

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B

C

D

E

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Triangle ACE is equilateral with side lengths of 8. Points B and D are the midpoints of line segments AC and CE respectively. Line segment BD is a diameter of the circle with center F. What is the area of the shaded region?

A. 8√2 − 4π
B. 12√3−2π
C. 12√3 − 4π
D. 16√3 − 2π
E. 16√2 − 4π


OA B

Source: Princeton Review