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A. \(12\pi-18\sqrt3\)
B. \(18\sqrt3-6\pi\)
C. \(24\pi-36\sqrt3\)
D. \(36\sqrt3-12\pi\)
E. \(36\pi-72\sqrt3\)
Answer: D
Source: Magoosh
In the diagram above, \(A\) and \(B\) are the centers of the two circles, each with radius \(r = 6,\) and \(\angle A = \angle B = 60^{\circ}.\) What is the area of the shaded region?
A. \(12\pi-18\sqrt3\)
B. \(18\sqrt3-6\pi\)
C. \(24\pi-36\sqrt3\)
D. \(36\sqrt3-12\pi\)
E. \(36\pi-72\sqrt3\)
Answer: D
Source: Magoosh