MathDB
area of region bounded by 3 semicircles

Source: 1993 ITAMO p1

January 31, 2020
geometryarea of a trianglesemicircle

Problem Statement

Let be given points A,B,CA,B,C on a line, with CC between AA and BB. Three semicircles with diameters AC,BC,ABAC,BC,AB are drawn on the same side of line ABCABC. The perpendicular to ABAB at CC meets the circle with diameter ABAB at HH. Given that CH=2CH =\sqrt2, compute the area of the region bounded by the three semicircles.
Back to ProblemsView on AoPS