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Triangle in Hexagon

Author: mathforces
Problem has been solved: 45 times

Русский язык | English Language



Let $ N $ be the midpoint of $ AB $, $ M $ the midpoint of $ CD $, $ K $ the midpoint of $ EF $ in the regular hexagon $ ABCDEF $. Let $x$ be the probability that a randomly selected point inside the hexagon will be inside the triangle $ MNK $. What is the value of $[ x\cdot 2020 \pi ] $?





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