The parabola $$y^2 = 4x$$ divides the area of the circle $$x^2 + y^2 = 5$$ in two parts. The area of the smaller part is equal to:

A

$$\frac{1}{3} + 5\sin^{-1}\left(\frac{2}{\sqrt{5}}\right)$$

B

$$\frac{1}{3} + \sqrt{5}\sin^{-1}\left(\frac{2}{\sqrt{5}}\right)$$

C

$$\frac{2}{3} + 5\sin^{-1}\left(\frac{2}{\sqrt{5}}\right)$$

D

$$\frac{2}{3} + \sqrt{5}\sin^{-1}\left(\frac{2}{\sqrt{5}}\right)$$