Bunuel wrote:
mirzohidjon wrote:
Regular hexagon ABCDEF has a perimeter of 36. O is the center of the hexagon and of circle O. Circles A, B, C, D, E, and F have centers at A, B, C, D, E, and F, respectively. If each circle is tangent to the two circles adjacent to it and to circle O, what is the area of the shaded region (inside the hexagon but outside the circles)?
A.\(108-18\pi\)
B.\(54\sqrt{3}-9\pi\)
C.\(54\sqrt{3}-18\pi\)
D.\(108-27\pi\)
E.\(54\sqrt{3}-27\pi\)
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