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Circumnavigating Circles

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Author: Annie Fetter
Description: teacher support active problem Geometry, difficulty level 3. The radii of two wheels are 10 vershoks and 5 vershoks and their centers are 30 vershoks apart. A belt goes around both of the wheels, criss-crossing between the two centers to form two internal tangents. What's the length of the belt?
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Problem page: http://mathforum.org/librarypow/puzzles/index2.ehtml?puzzle=2895
Support page: http://mathforum.org/pow/support/geopow/circles.teacher.html
Solution page: Problem #2895

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