MathDB

438

Part of 1986 All Soviet Union Mathematical Olympiad

Problems(1)

ASU 438 All Soviet Union MO 1986 triangle, square around unit circle, areas

Source:

8/7/2019
A triangle and a square are circumscribed around the unit circle. Prove that the intersection area is more than 3.43.4. Is it possible to assert that it is more than 3.53.5?
areascirclesquaregeometrygeometric inequality