# Area #3

Calculus Level 4

Consider a square with vertices at $$(1,1);(-1,1);(-1,-1);(1,-1)$$. Let $$S$$ be the region consisting of all points inside the square which are nearer to the origin than to any edge. The area of $$S$$ is $${\frac{A}{B}(C\sqrt{D}-E)}$$

where $$A,B,C,D,E$$ are integers,_need not be distinct and $$D$$ is square free and $$A,B$$ are co prime.

Find $$A+B+C+D+E$$

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