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)?
108 - 18
54 rt3 - 9
54 rt3- 18
108 - 27
54 rt3 - 27
If I use the Pitag. theo. to solve it instead of the 30-60-90 rule, I get a trianbgle that is 6 of hypot. and 6/2 that would give me a third side of 5, right?
Am I missing something?
Thanks
Ruben
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