In the figure above, \(ABCDEF\) is a regular hexagon with vertices \(A\) and \(C\) on the circle centered at point \(B\)

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In the figure above, \(ABCDEF\) is a regular hexagon with vertices \(A\) and \(C\) on the circle centered at point \(B.\) Is the perimeter of the figure greater than \(40?\)

1) The overlapping region between circle \(B\) and hexagon \(ABCDEF\) has an area of \(12\pi.\)
2) The area of the figure is \(24\pi +54\sqrt3.\)

Answer: D

Source: Princeton Review