# That's a Circle, right?

Geometry Level 5

Above is the graph of the equation $x^2+y^2-|2x+8|+2y=16$ If the area of the figure is denoted $$A$$, then find $\lfloor1000\{A\}\rfloor$

Details and Assumptions
$$\{N\}$$ denotes the fractional part of $$N$$.
In other words, $$\{N\}=y$$ where $$N=x+y$$, $$x$$ is an integer and $$0\le y < 1$$.

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