Geometry Problem

For discussing Olympiad level Geometry Problems
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vivi2k
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Joined:Wed Jul 06, 2011 9:15 am
Geometry Problem

Unread post by vivi2k » Wed Jul 06, 2011 9:30 am

The wire frame at left below consists of three mutually perpendicular segments AD, BD, and
C D, each 3 cm in length. A quarter-circle of radius 3 is attached to each pair of segments as
shown. The curved portions of the wire frame will fit snugly against a sphere of a certain size,
so that the entire lengths of all three quarter circles make contact with the sphere. For what
radius is this possible?

http://qian2k.com/properties/kids/vivian/math/q1.png
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