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

Question

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