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 \( a+b \)?

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