MathNet 2021 — Part 04 Question 43

Let $n$ be the answer to this problem. Hexagon $A B C D E F$ is inscribed in a circle of radius $90$. The area of $A B C D E F$ is $8 n$, $A B = B C = D E = E F$, and $C D = F A$. Find the area of triangle $A B C$.