# Can you do it geometrically?

Calculus Level 5

You are given two circles. One has a radius 1 and is centered at $$(0, 1)$$ in the Cartesian plane. The other has a radius 2 and is centered at $$(2, 0)$$. If the area of intersection of the circles is $$\mathfrak{E}$$, then find $$\left \lfloor 1000 \mathfrak{E} \right \rfloor$$.

Notation: $$\lfloor \cdot \rfloor$$ denotes the floor function.

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