MathDB
Trace of a square(Area)

Source: 1999 KJMO

June 30, 2024
geometrygeometric transformationrotation

Problem Statement

CC is the unit circle in some plane. RR is a square with side aa. CC is fixed and RR moves(without rotation) on the plane, in such a way that its center stays inside CC(including boundaries). Find the maximum value of the area drawn by the trace of RR.
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