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Lusophon Mathematical Olympiad
2011 Lusophon Mathematical Olympiad
1
Circle Inscribed in a Hexagon
Circle Inscribed in a Hexagon
Source: 2011 LMO Problem #1
September 21, 2011
geometry
ratio
Problem Statement
Prove that the area of the circle inscribed in a regular hexagon is greater than
90
%
90\%
90%
of the area of the hexagon.
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