Problem
of
the
Week


PROBLEM 21


This problem was provided by Thomas Ngo of Virginia Polytechnic and State University.

In the diagram below, ABCD and PQRS are squares, while ABQ, BCR, CDS, and DAP are congruent right triangles. The five circle in blue are all of the same size. If the length of a side of ABCD is 1 unit, what is the radius of the circles?

diagram

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