AMC 12A 2011 Problem 10

A pair of standard 6-sided fair dice is rolled once. The sum of the numbers rolled determines the diameter of a circle. What is the probability that the numerical value of the area of the circle is less than the numerical value of the circle’s circumference?

Answer Choices
A. \dfrac{1}{36}
B. \dfrac{1}{12}
C. \dfrac{1}{6}
D. \dfrac{1}{4}
E. \dfrac{5}{18}