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A thin conveyor belt 15feet long is drawn tightly around two

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A thin conveyor belt 15feet long is drawn tightly around two [#permalink] New post 05 May 2008, 18:13
A thin conveyor belt 15feet long is drawn tightly around two circular wheels each 1 foot in diameter. What is the distance, in feet, between the centers of the two wheels?

The correct answer is (15-pi)/ 2
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Re: A GMATPrep question [#permalink] New post 05 May 2008, 19:51
GMAT_700 wrote:
A thin conveyor belt 15feet long is drawn tightly around two circular wheels each 1 foot in diameter. What is the distance, in feet, between the centers of the two wheels?

The correct answer is (15-pi)/ 2


the circumference covered by the belt of each circle = 1/2 (2 pi r/2) = 1/2 (2 pi 1/2) = pi/2
the total circumference of both circles covered by the belt = pi
the lenth of the distance belt that doesnot cover the circumferences of 2 circles = 15 - pi
so the distance between the centers of the circles = (15 - pi)/2

drawing a picture would be an easy way to understand why half of (15 - pi) is the distance between the centers of two circles.
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Re: A GMATPrep question   [#permalink] 05 May 2008, 19:51
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