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Tricky question

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Manager
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Status: Back to (GMAT) Times Square!!!
Joined: 15 Aug 2011
Posts: 189
Location: United States (IL)
GMAT 1: 650 Q49 V30
WE: Information Technology (Computer Software)
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Kudos [?]: 49 [0], given: 25

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Tricky question [#permalink] New post 23 Nov 2011, 05:28
Just wanted to know whether there is a short-cut way of solving this question? Can anyone please help me with this?

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V.
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Re: Tricky question [#permalink] New post 23 Nov 2011, 22:45
The area of the figure inside the circle seems to be composed of the half of the circle (because the cords form a right angle and therefore the hypotenuse of the triangle is the diameter of the circle cutting the middle of the circle) + the right triangle in the bottom left of the square. We should find its area.
Area of 1/2 circle = PiR^2/2 = Pi/2 (as radius is 2/2=1)
Area of triangle is 1/2 * 2 (hypotenuse) * 1 (hight to hypotenuse, which is a radius =1) =1
diff = Area of the Square - area of our figure = 2*2 - Pi/2 - 1
Ratio = diff / area of the square
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Re: Tricky question [#permalink] New post 24 Nov 2011, 00:42
A . Followed the similar approach as Postal
Re: Tricky question   [#permalink] 24 Nov 2011, 00:42
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