SEEMOUS 2010 Problem 2
Inside a square consider circles such that the sum of their circumferences is twice the perimeter of the square.
a) Find the minimum number of circles having this property. b) Prove that there exist infinitely many lines which intersect at least 3 of these circles.
Dataset text AI-MO AoPS. Quoted with source.
Solutions
No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.
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