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# Regular hexagon ABCDEF has a perimeter of 36. O is the

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Senior Manager
Joined: 21 Jun 2006
Posts: 282

Kudos [?]: 145 [0], given: 0

Regular hexagon ABCDEF has a perimeter of 36. O is the [#permalink]

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27 Jun 2007, 20:01
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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)?

Kudos [?]: 145 [0], given: 0

Senior Manager
Joined: 21 Jun 2006
Posts: 282

Kudos [?]: 145 [0], given: 0

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27 Jun 2007, 20:02
Oops.. here are the choices

108-18pi
54(3)^1/2-9pi
54(3)^1/2-18pi
108-27pi
54(3)^1/2-27pi

Kudos [?]: 145 [0], given: 0

27 Jun 2007, 20:02
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