2017 IGO Advanced P2
Source: 4th Iranian Geometry Olympiad (Advanced) P2
September 15, 2017
IGOgeometry
Problem Statement
We have six pairwise non-intersecting circles that the radius of each is at least one (no circle lies in the interior of any other circle). Prove that the radius of any circle intersecting all the six circles, is at least one.Proposed by Mohammad Ali Abam - Morteza Saghafian