Two Wheel Belt

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A classic trigonometry problem asks for the length of a belt wrapped around two wheels. The radii of the two wheels are and . The wheels are units apart.

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Let A and C be the two arcs of the belt and let B be one of the two segments joining the ends of the arcs. B is an exterior tangent to both circles. Then the lengths of A, B, and C are and .

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Contributed by: Ed Pegg Jr (March 2011)
Open content licensed under CC BY-NC-SA


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