You are given a set of lines $S := x(6a+b)-y(11a+2b) = 3a-183b$ for all real values of $(a,b)$ and a point $(713, 732)$. A closed curve is formed by taking the reflection of this point from all the lines in set $S$.

Let $A$ be the area enclosed by this curve, find $\frac{A}{\pi}$.