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nick_sun
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What is the area of the circle Updated on: 28 Jun 2008, 03:32
Originally posted by nick_sun on 09 Jul 2007, 04:50.
Last edited by nick_sun on 28 Jun 2008, 03:32, edited 1 time in total.
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What is the area of the circle?



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UMB
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What is the area of the circle 09 Jul 2007, 05:54
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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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sumande
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What is the area of the circle 09 Jul 2007, 06:48
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UMB
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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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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baer
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What is the area of the circle 09 Jul 2007, 07:17
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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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What is the area of the circle 09 Jul 2007, 07:44
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UMB

R=a/(3^1/2) so R=2*3^1/2 and Pi*R^2=12*Pi.
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Thank you, UMB! I've got it :P



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