# Solve it if you can

**Calculus**Level 5

A square has vertices at \((1,1), (-1,1), (-1,-1), \text{ and } (1,-1).\)

Let \(S\) be the region of all points inside the square which are nearer to the origin than to any edge. What is the area of \(S\)?

A square has vertices at \((1,1), (-1,1), (-1,-1), \text{ and } (1,-1).\)

Let \(S\) be the region of all points inside the square which are nearer to the origin than to any edge. What is the area of \(S\)?

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