Find the area of the region in the first quadrant enclosed by $x$ - axis, line $x = \sqrt {3}\: y$ and the circle $x^2 + y^2 = 4$.

Question

$\begin{array}{1 1} \large \frac{\pi}{3} sq. units. \\ \large \frac{\pi}{6} sq. units. \\\large \frac{\pi}{9} sq. units. \\ \large \frac{\pi}{4} sq. units \end{array} $