# Triangle in Hexagon

Author: mathforces
Problem has been solved: 48 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 $[ x\cdot 2020 \pi ]$?