Find the area bounded by curves $(x - 1)^2 + y^2 = 1$ and $x^2 + y^2 = 1$.

Question

$\begin{array}{1 1}\big( \frac{2\pi}{3}-\frac{\sqrt 3}{2}\big)\; sq. units \\\big( \frac{\pi}{3}-\frac{\sqrt 3}{2}\big)\; sq. units. \\ \big( \frac{3\pi}{2}+\frac{\sqrt 3}{2}\big)\; sq. units. \\\big( \frac{2\pi}{3}-\frac{\sqrt 2}{3}\big)\; sq. units \end{array} $