# Akhil Challenger Question

**Geometry**Level 5

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Consider a **square** with vertices at \((1,1)\) , \((-1,1)\) , \((-1,-1)\) and \((1,-1)\). Let \(\color{blue}{S}\) be the region consisting of all points inside the square which are nearer to the origin than to any edge. Find the area of \(\color{blue}{S}\) correct upto four places of decimals.

**Note:** You may use a calculator for the final calculation.