What is the perimeter of an equilateral triangle inscribed

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What is the perimeter of an equilateral triangle inscribed [#permalink]

09 Aug 2012, 13:06

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What is the perimeter of an equilateral triangle inscribed in a circle of radius 4 ?

A. 6\sqrt{2}
B. 6\sqrt{3}
C. 12\sqrt{2}
D. 12\sqrt{3}
E. 24

source: readyforgmat.com

[Reveal] Spoiler: OA

Last edited by Bunuel on 09 Aug 2012, 15:05, edited 1 time in total.

Renamed the topic and edited the question.

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Re: What is the perimeter of an equilateral triangle inscribed [#permalink]

09 Aug 2012, 16:29

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arthuro69 wrote:

What is the perimeter of an equilateral triangle inscribed in a circle of radius 4 ?

A. 6\sqrt{2}
B. 6\sqrt{3}
C. 12\sqrt{2}
D. 12\sqrt{3}
E. 24

source: readyforgmat.com

Hi, there. I'm happy to help. :-)

The full solution to the problem is in the attached pdf.

If the details of the 30-60-90 triangle are not familiar to you, I recommend brushing up with this post:
http://magoosh.com/gmat/2012/the-gmats- ... triangles/

Let me know if there are any further questions.

Mike :-)

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Mike McGarry
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Re: What is the perimeter of an equilateral triangle inscribed [#permalink]

04 Sep 2012, 03:29

The radius of circum circle of an equilateral triangle = a/sqrt(3). a is the side of triangle.
Here: a/sqrt(3) = 4
a = 4*sqrt(3).
perimeter 3a = 3*4*sqrt(3) = 12sqrt(3).

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Re: What is the perimeter of an equilateral triangle inscribed [#permalink]

04 Sep 2012, 03:32

arthuro69 wrote:

What is the perimeter of an equilateral triangle inscribed in a circle of radius 4 ?

A. 6\sqrt{2}
B. 6\sqrt{3}
C. 12\sqrt{2}
D. 12\sqrt{3}
E. 24

source: readyforgmat.com

All you need to know about triangles for the GMAT: math-triangles-87197.html

Hope it helps.
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Re: What is the perimeter of an equilateral triangle inscribed [#permalink] 04 Sep 2012, 03:32

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What is the perimeter of an equilateral triangle inscribed

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What is the perimeter of an equilateral triangle inscribed

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