# Are you in or are you out?

Geometry Level 5

Suppose we have a square $$ABCD$$ with corners $$A(0,0), B(0,2), C(2,2), D(2,0)$$.

If a circle with center $$O(-1,-1)$$ and radius $$r$$ is such that half of the square's area lies within the circle, what is $$\lfloor 1000*r \rfloor$$?

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