# The Ins And Outs Of Circles

Geometry Level 3

\begin{cases} \begin{align} x^2 + y^2 &\leq 1 \\ (x-1)^2 + (y-1)^2 &\geq 1 \\ (x+1)^2 + (y+1)^2 &\geq 1 \\ \end{align} \end{cases}

Let $$D$$ be the domain of the system of inequalities shown above. What is the area of $$D$$?

×