MathDB
2017 Geometry #7

Source:

November 19, 2022
2017Geometry Test

Problem Statement

Three identical circles are packed into a unit square. Each of the three circles are tangent to each other and tangent to at least one side of the square. If rr is the maximum possible radius of the circle, what is (2−1r)2(2-\tfrac{1}{r})^2?
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