A Geometry Problem | Maclaurin Olympiad | Junior Math Olympiad Preparation

Published: 24 March 2021
on channel: GG Maths
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115

A semicircle of radius 1 is drawn inside a semicircle of radius 2, as shown in the diagram, where OA = OB = 2. A circle is drawn so that it touches each of the semicircles and their common diameter, as shown.

What is the radius of the circle?

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