## 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 $$B$$

by Vincen » Thu Sep 09, 2021 7:15 am

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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 $$24\pi +54\sqrt3.$$