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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. \(8\sqrt{2} - 4\pi\)
B. \(12\sqrt{3}-2\pi\)
C. \(12\sqrt{3} - 4\pi\)
D. \(16\sqrt{3} - 2\pi\)
E. \(16\sqrt{2} − 4\pi\)
OA B
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. \(8\sqrt{2} - 4\pi\)
B. \(12\sqrt{3}-2\pi\)
C. \(12\sqrt{3} - 4\pi\)
D. \(16\sqrt{3} - 2\pi\)
E. \(16\sqrt{2} − 4\pi\)
OA B
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