Area enclosed between $\min(|x|,|y|)\ge1$and $x^2+y^2 \le5$

Question

The area of the region included between the regions satisfying $$\min(|x|,|y|)\ge1$$ and $$x^2+y^2 \le5$$ is ______

I am unable to construct the curve $\min(|x|,|y|)\ge1$ hence cannot proceed.

Answer 1

If $$|x|\geq |y|$$ then $$\min(|x|,|y|)=|y|$$ and if $$|x|<|y|$$ then $$\min(|x|,|y|)=|x|$$