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

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

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