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Problem of the Day #201: Drawing Tangents to a Circle October 6, 2011

Posted by Alex in : potd , trackback

A circle of radius $4$ is tangent to $3$ sides of a rectangle with side lengths $8$ and $12$. Albert travels along the edges of a rectangle, and at every point he draws a tangent line segment from his current position to the circle, choosing the shorter one when there are two. Find the average length of the line segments that Albert draws.

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