IGO 2017 A2
- Advanced
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
Dataset text AI-MO AoPS. Quoted with source.
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