Consider a square with vertices at $$A\left(1,1\right),B\left(-1,1\right),C\left(-1,-1\right)$$ and $$D\left(1,-1\right)$$.Let $$S$$ be the region consisting of all points inside the square which are nearer to the origin than to any edge.

On the basis of above information, answer the following questions:#### Solution

On the basis of above information, answer the following questions: