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circle tangent so 2 semicircles, square - Greece Juniors 1989 p3

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September 14, 2024
geometrytangent circles

Problem Statement

Given a square ABCDABCD of side aa, we consider the circle ω\omega, tangent to side BCBC and to the two semicircles of diameters ABAB and CDCD. Calculate the radius of circle ω\omega,