In the diagram above, \(ABC\) is an equilateral triangle. \(D\) is the midpoint of \(AC.\) \(BD\) is the diameter of the

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In the diagram above, \(ABC\) is an equilateral triangle. \(D\) is the midpoint of \(AC.\) \(BD\) is the diameter of the circle. If \(AD = 4,\) what is the area of the circle?

A. \(8\sqrt3\pi\)
B. \(12\pi\)
C. \(16\pi\)
D. \(16\sqrt3\pi\)
E. \(48\pi\)

Answer: B

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