The area (in sq. units) of the region $\{(x,y):y^2 \leq 2x$ and $x^2+y^2 \geq 4x, x \leq 0, y \geq 0 \}$ is

Question

$\begin{array}{1 1}(1) \pi -\large\frac{4}{3} \\ (2)\pi - \large\frac{8}{3} \\ (3) \pi - \large\frac{4 \sqrt 2}{3} \\ (4) \large\frac{\pi}{2} - \frac{2 \sqrt 2}{3} \end{array}$