Two circles intersect at points A and B. The minor arcs A B measure 30^{\circ} on one circle and 60^{\circ} on the other circle. What is the ratio of the area of the larger circle to the area of the smaller circle?
Answer Choices
A. 2
B. 1+\sqrt{3}
C. 3
D. 2+\sqrt{3}
E. 4