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What is the area of the circle

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What is the area of the circle [#permalink] New post 09 Jul 2007, 04:50
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What is the area of the circle?

Last edited by nick_sun on 28 Jun 2008, 03:32, edited 1 time in total.
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 [#permalink] New post 09 Jul 2007, 05:54
C.

Area of equilateral triangle S=[a^2*3^1/2]/4 so a=6

a- side of triangle. R- raduis of circumscribed circle.

R=a/(3^1/2) so R=2*3^1/2 and Pi*R^2=12*Pi.
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 [#permalink] New post 09 Jul 2007, 06:48
UMB wrote:
C.

Area of equilateral triangle S=[a^2*3^1/2]/4 so a=6

a- side of triangle. R- raduis of circumscribed circle.

R=a/(3^1/2) so R=2*3^1/2 and Pi*R^2=12*Pi.


That is right.

Radius of circumcircle = a/sqrt(3); a = side of triangle
Radius of incircle = [sqrt(3)*a]/6; a = side of triangle

These formulas are valid for equilateral triangles only! :-D
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 [#permalink] New post 09 Jul 2007, 07:17
Is there an easier way to do this? I would think the gmat doesn't want to test the forumula of a circumcircle.
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 [#permalink] New post 09 Jul 2007, 07:44
UMB wrote:
R=a/(3^1/2) so R=2*3^1/2 and Pi*R^2=12*Pi.


Thank you, UMB! I've got it :P
  [#permalink] 09 Jul 2007, 07:44
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