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

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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?image

  1. 8√2 - 4π
  2. 12√3 - 2π
  3. 12√3 - 4π
  4. 16√3 - 2π
  5. 16√2 - 4π
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