Find tha area of the region containing the points `(x, y)` satisfying `4 le x^(2) + y^(2) le 2 (|x|+ |y|)`.

Explanation

To find the area of the region containing the points \((x, y)\) satisfying the inequality \(4 \leq x^2 + y^2 \leq 2(|x| + |y|)\), we will analyze the given inequalities step by step.

### Step 1: Understanding the inequalities

We have two inequalities:
1. \(x^2 + y^2 \geq 4\)
2. \(x^2 + y^2 \leq 2(|x| + |y|)\)

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