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

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

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New post 16 Sep 2012, 13:38
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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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Re: In the figure above, a square is inscribed in a circle. If [#permalink]

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New post 16 Sep 2012, 15:10
Could you please post the picture also ?
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New post 16 Sep 2012, 23:33
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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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Re: In the figure above, a square is inscribed in a circle. If [#permalink]

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New post 05 Oct 2012, 09:13
good point !! thank

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New post 26 Feb 2013, 02:17
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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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New post 25 Aug 2013, 09:28
Can someone please explain why the answer is 6pi?

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

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New post 26 Aug 2013, 06:30
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There is no figure in this one. No point attempting it.

In addition, most probably the answer is 8pi. I'll lock this thread.

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Re: In the figure above, a square is inscribed in a circle. If   [#permalink] 26 Aug 2013, 06:30
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In the figure above, a square is inscribed in a circle. If

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