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Geometry Question

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praveensahni
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Geometry Question [#permalink] New post   28 Mar 2015, 11:08
A regular Hexagon ABCDEF is inscribed in a circle. If AC=22, what is the diameter of that circle ?



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Re: Geometry Question [#permalink] New post   28 Mar 2015, 11:59
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Hi praveensahni,

When posting GMAT questions, you should be sure to post the answer choices along with the prompt (in some cases, the answer choices provide a huge hint as to how to answer the question or how to avoid a long, calculation-heavy approach).

I'm going to provide you with some 'hints' as to how to approach this question, so that you can re-attempt it:

1) A "regular" hexagon is a 6-sided shape that has 6 equal sides and 6 equal angles.
2) The total number of degrees in a hexagon is 720. Each of the 6 angles in THIS hexagon is a 120 degree angle.
3) Since this question involves a circle, the RADIUS of the circle will likely play a big role in the solution.
4) Draw the picture as described and draw in a radius from "A" to the center of the circle and from "C" to the center of the circle. Think about what you know about this triangle...

GMAT assassins aren't born, they're made,
Rich
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praveensahni
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Re: Geometry Question [#permalink] New post   28 Mar 2015, 17:05
EMPOWERgmatRichC wrote:
Hi praveensahni,

When posting GMAT questions, you should be sure to post the answer choices along with the prompt (in some cases, the answer choices provide a huge hint as to how to answer the question or how to avoid a long, calculation-heavy approach).

I'm going to provide you with some 'hints' as to how to approach this question, so that you can re-attempt it:

1) A "regular" hexagon is a 6-sided shape that has 6 equal sides and 6 equal angles.
2) The total number of degrees in a hexagon is 720. Each of the 6 angles in THIS hexagon is a 120 degree angle.
3) Since this question involves a circle, the RADIUS of the circle will likely play a big role in the solution.
4) Draw the picture as described and draw in a radius from "A" to the center of the circle and from "C" to the center of the circle. Think about what you know about this triangle...

GMAT assassins aren't born, they're made,
Rich



Hi there

Thanks for your suggestions. I intentionally didn't give the options, as my answer was not matching any of the below.

A regular Hexagon ABCDEF is inscribed in a circle. If AC=22, what is the diameter of that circle ?
A) 19 B) 20 C)21 D)22 E)23
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dabral
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Re: Geometry Question [#permalink] New post   29 Mar 2015, 00:51
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praveensahni

None of the answers choices provide the correct answer to this problem. This is not an official GMAT question for sure. The answer should be 44/(sqrt(3)).
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chetan2u
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Re: Geometry Question [#permalink] New post   29 Mar 2015, 01:49
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dabral wrote:
praveensahni

None of the answers choices provide the correct answer to this problem. This is not an official GMAT question for sure. The answer should be 44/(sqrt(3)).


hi praveensahni,

if the Q says circle is inscribed in the hexagon , you will get the answer as D 22.. but in this case answer would be \(44/\sqrt{3}\)
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Re: Geometry Question [#permalink] New post   01 Apr 2015, 09:23
praveensahni wrote:
A regular Hexagon ABCDEF is inscribed in a circle. If AC=22, what is the diameter of that circle ?



\(\sqrt{3} /2 = \frac{11}{r}\)
\(r=\frac{22}{\sqrt{3}}\)
\(D=\frac{44}{\sqrt{3}}\)



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Re: Geometry Question [#permalink]
01 Apr 2015, 09:23
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yashikaaggarwal
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