## Problem of the Day #225: Projecting Circles onto Planes
*October 30, 2011*

*Posted by Billy in : potd , trackback*

Albert has a plane and a disk of radius $15$ in $3$-dimensional space, both randomly oriented. The circle does not intersect the plane. If the circle is projected onto the plane, what is the expected value of the area of the resulting planar figure?

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