Geometry · Extremal problems · Rectangles · Concentric circles · Triangle area
Problem 1, 1995
← Prev · 3 / 3 · Next →Two concentric circles \(k_1\) and \(k_2\) have radii \(a\) and \(b\). Consider all rectangles that have two vertices on \(k_1\) and the remaining two vertices on \(k_2\). Determine the rectangle of largest area among them, and compute that area.
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Serbian Republic Competition (Republicko takmicenje) 1995, high school grade I, problem 1. Organized by the Mathematical Society of Serbia (DMS). Source