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# GMAT Prep PS circle and square - No OA

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Manager
Joined: 19 Oct 2008
Posts: 91
GMAT Prep PS circle and square - No OA [#permalink]

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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?
Manager
Joined: 28 Jul 2004
Posts: 135
Location: Melbourne
Schools: Yale SOM, Tuck, Ross, IESE, HEC, Johnson, Booth
Re: GMAT Prep PS circle and square - No OA [#permalink]

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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

Manager
Joined: 19 Oct 2008
Posts: 91
Re: GMAT Prep PS circle and square - No OA [#permalink]

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12 Mar 2009, 16:01
Great, thanks, I can't believe I got this one wrong. Looks too easy now.
Intern
Joined: 25 Dec 2008
Posts: 18
Schools: HBS, Stanford
Re: GMAT Prep PS circle and square - No OA [#permalink]

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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
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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