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# A rope of 40 meter long cut into 2 pieces, one piece is used

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A rope of 40 meter long cut into 2 pieces, one piece is used [#permalink]

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09 Feb 2006, 07:42
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A rope of 40 meter long cut into 2 pieces, one piece is used to form a circle with radius R, and other one is used to form a square. No wire is left over. What is the total area in square meter of the circular and square region in terms of R?
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09 Feb 2006, 08:02
kook44 wrote:
PI*R^2 + (40-2*PI*R)^2

the side of the square should be (40- 2*pi*R)/4
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09 Feb 2006, 08:09
laxieqv wrote:
kook44 wrote:
PI*R^2 + (40-2*PI*R)^2

the side of the square should be (40- 2*pi*R)/4

Yep. submitted the post before I double checked.
(hope I don't do that on the real test!)

thx!
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