<s>[INST] Let \(r > 0\) be a parameter. The region is bounded by the circle \(x^2 + y^2 = r^2\), the \(x\)-axis, and the lines \(x = -r\) and \(x = r\). Find the area of the region using integration and express the result as a fraction of \(\pi\), which should not include the parameter \(r\).[/INST]