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In the figure below, a circle is inscribed in a square with

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In the figure below, a circle is inscribed in a square with [#permalink] New post 06 Aug 2011, 04:06
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In the figure below, a circle is inscribed in a square with side b and a square with side a is inscribed in the circle. What is the area of the square with side b?

(1) a=4
(2) the radius of the circle is 2 radical sign 2
[Reveal] Spoiler: OA

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Schools: University of Chicago, Wharton School
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Re: A math problem, pls help to solve it(12) [#permalink] New post 10 Aug 2011, 10:23
Jasontuyj2012 wrote:
In the figure below, a circle is inscribed in a square with side b and a square with side a is inscribed in the circle. What is the area of the square with side b?

(1) a = 4
(2) the radius of the circle is 2 radical sign 2


Visualizing the diagram that:

The diagonal of the small square = diameter of the circle = the side of the bigger square.

From 1, b = the side (b) of the bigger square = diameter of the circle (d = 2r) = a (sqrt2) = 4 (sqrt2). Sufficient.
From 2, If r = 2 (sqrt2), d = 4 (sqrt 2), which is equal to the side (b) of the bigger square. Sufficinet..


So it is D..
Re: A math problem, pls help to solve it(12)   [#permalink] 10 Aug 2011, 10:23
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In the figure below, a circle is inscribed in a square with

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