Two circles lie outside regular hexagon A B C D E F. The first is tangent to \bar{A} \bar{B}, and the second is tangent to \overline{D E}. Both are tangent to lines B C and F A. What is the ratio of the area of the second circle to that of the first circle?

**Answer Choices**

A. 18

B. 27

C. 36

D. 81

E. 108