IMO 1983 LL BRA11

A boy at point A wants to get water at a circular lake and

IMO 1983 LL BRA11

Origin: BRA

Problem

A boy at point A wants to get water at a circular lake and carry it to point B. Find the point C on the lake such that the distance walked by the boy is the shortest possible given that the line AB and the lake are exterior to each other.