Two circles lie outside regular hexagon A B C D E F. The first is tangent to \overline{AB}, 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