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GMAT Prep PS circle and square - No OA

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GMAT Prep PS circle and square - No OA [#permalink]

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New post 12 Mar 2009, 14:51
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A 40 inch long wire is cut into two pieces. A circle with radius r is made from one piece and a square is made from the other piece. What is area of the circle and square in terms of r?

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Re: GMAT Prep PS circle and square - No OA [#permalink]

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New post 12 Mar 2009, 15:56
Accountant wrote:
A 40 inch long wire is cut into two pieces. A circle with radius r is made from one piece and a square is made from the other piece. What is area of the circle and square in terms of r?


Perimeter of circle = 2*pi*r

Perimeter of square = (40-2*pi*r)

--> Side of the square = (40-2*pi*r)/4 (since square has all sides equal) = (20-pi*r)/2

Area of the square = (20-pi*r)^2/4

Hope this helps.
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kris

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Re: GMAT Prep PS circle and square - No OA [#permalink]

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New post 12 Mar 2009, 16:01
Great, thanks, I can't believe I got this one wrong. Looks too easy now.

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Re: GMAT Prep PS circle and square - No OA [#permalink]

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New post 14 Mar 2009, 10:16
krishan wrote:
Accountant wrote:
A 40 inch long wire is cut into two pieces. A circle with radius r is made from one piece and a square is made from the other piece. What is area of the circle and square in terms of r?


Perimeter of circle = 2*pi*r

Perimeter of square = (40-2*pi*r)

--> Side of the square = (40-2*pi*r)/4 (since square has all sides equal) = (20-pi*r)/2

Area of the square = (20-pi*r)^2/4

Hope this helps.



Almost correct (I think you just made a typo)

Area of square: [(20-pi*r)/2]^2

Area of circle: pi*r^2

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Re: GMAT Prep PS circle and square - No OA   [#permalink] 14 Mar 2009, 10:16
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GMAT Prep PS circle and square - No OA

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