If a straight line $$y - x = 2$$ divides the region $$x^2 + y^2 \le 4$$ into two parts, then the ratio of the area of the smaller part to the area of the greater part is

A

$$3\pi - 8 : \pi + 8$$

B

$$\pi - 3 : 3\pi + 3$$

C

$$3\pi - 4 : \pi + 4$$

D

$$\pi - 2 : 3\pi + 2$$