MathDB

A. 786

Part of KoMaL A Problems 2020/2021

Problems(1)

Convex set and area

Source: Kömal A.786

4/5/2021
In a convex set SS that contains the origin it is possible to draw nn disjoint unit circles such that viewing from the origin non of the unit circles blocks out a part of another (or a complete) unit circle. Prove that the area of SS is at least n2100\frac{n^2}{100}.
combinatoricsgeometry