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# In the figure above, a square is inscribed in a circle. If

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Intern
Joined: 11 Jan 2012
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In the figure above, a square is inscribed in a circle. If [#permalink]

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16 Sep 2012, 14:38
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In the figure above, a square is inscribed in a circle. If the area of the square region is 16, what is the area of the circular region?

(A) 2π
(B) 4π
(C) 6π
(D) 12π
(E) 16π

My answer is 8π, which is not one of the options. What am I doing wrong here?

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Intern
Joined: 16 Sep 2012
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GMAT 1: 660 Q41 V40
Re: In the figure above, a square is inscribed in a circle. If [#permalink]

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17 Sep 2012, 00:33
1
KUDOS
The square is inside the circle, and each of it's sides is 4 since the area is 16. If we create a 45 45 90 right triangle within the square to get the radius of the circle we get \sqrt{2} so just square that and multiply by π and you get 2π

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Director
Joined: 29 Nov 2012
Posts: 877

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Re: In the figure above, a square is inscribed in a circle. If [#permalink]

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26 Feb 2013, 03:17
1
KUDOS
I don't understand how the answer is 6 Pi Square inscribed in a circle...

S S S root 2 you get a 45 45 90 triangle so Side is 4 Diagonal is 4 root 2 take --- Half of that is 2 root 2

Area = 8 pi what am I doing wrong?
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Concentration: Healthcare, Strategy
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Re: In the figure above, a square is inscribed in a circle. If [#permalink]

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26 Aug 2013, 07:30
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There is no figure in this one. No point attempting it.

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Re: In the figure above, a square is inscribed in a circle. If [#permalink]

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16 Sep 2012, 16:10
Could you please post the picture also ?
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Manager
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Re: In the figure above, a square is inscribed in a circle. If [#permalink]

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05 Oct 2012, 10:13
good point !! thank

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Re: In the figure above, a square is inscribed in a circle. If [#permalink]

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25 Aug 2013, 10:28

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Re: In the figure above, a square is inscribed in a circle. If   [#permalink] 25 Aug 2013, 10:28
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# In the figure above, a square is inscribed in a circle. If

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