Dicey Diameters

Level pending

Two different six-sided fair die are rolled. The sum of these two dice will determine the diameter of a circle.

The probability that the value of the circle's area is less than the value of the circle's circumference can be represented as $$\frac{a}{b}$$ where $$a$$ and $$b$$ are coprime positive integers. What is $$a+b$$?

×