Geometry · Extremal problems · Rectangles · Concentric circles · Triangle area
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.
Sign in to check answers, open hints, read the full solution, and track your progress. Statements are always free.
Serbian Republic Competition (Republicko takmicenje) 1995, high school grade I, problem 1. Organized by the Mathematical Society of Serbia (DMS). Source