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A thin piece of wire 40 m long is cut into 2 pieces. 1

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A thin piece of wire 40 m long is cut into 2 pieces. 1 [#permalink] New post 27 Jan 2007, 22:22
A thin piece of wire 40 m long is cut into 2 pieces. 1 pieces used to make a circle with radius r. The other piece used to make a square.
Which of the foll. represents the total area in square meters of the circle and square in terms of r?

Answer: pie r^2 + (10 - 1/2*pie*r)^2
Solution please? Thanks!
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Re: Gmatprep: Circle and Square [#permalink] New post 28 Jan 2007, 07:43
Note that the wire is not cut into 2 equal pieces.

Perimeter of circle = 2 pi r
Therefore perimeter of squre of side L = 40-2 pi r = 4L
L= 10 - pi/2*r

Area of circle + area of squeare =pi * r^2 + (10 - pi/2*r)^2
Re: Gmatprep: Circle and Square   [#permalink] 28 Jan 2007, 07:43
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A thin piece of wire 40 m long is cut into 2 pieces. 1

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