Geometry · Intersecting circles · Common chord · Circular segment · Lune · Area
A circle of radius \(\sqrt{2}\) is given. A second circle, of radius \(2\), has its centre on the first circle. Find the area of the shaded region, that is, of the part of the smaller disc that lies outside the larger one.
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Slovenian High School Mathematics Competition for Vega Awards (MaSSA), izbirno (selection) round 2001, 1. letnik, category A, problem 3. Organized by DMFA Slovenije (Society of Mathematicians, Physicists and Astronomers of Slovenia). Source