2. Through the center $O$ of the circle circumscribed around the regular pentagon $A B C D E$, lines parallel to the sides $A B$ and $B C$ are drawn. The points of intersection of these lines with $B C$ and $C D$ are denoted as $F$ and $G$ respectively. What is the ratio of the areas of quadrilateral $O F C G$ and pentagon $A B C D E$?
# Solution.

Draw other lines through point $O$ parallel to the sides of the pentagon. We see that $A B C D E$ consists of five quadrilaterals equal to $O F C G$.