The area of the region enclosed between the circles $$x^{2}+y^{2}=4 \text{ and } x^{2}+(y-2)^{2}=4$$ is

A

$$\frac{2}{3}(4\pi - 3\sqrt{3})$$

B

$$\frac{4}{3}(2\pi - \sqrt{3})$$

C

$$\frac{4}{3}(2\pi - 3\sqrt{3})$$

D

$$\frac{2}{3}(2\pi - 3\sqrt{3})$$