Circle Areas #2: The Basics

Geometry Level 3

In the diagram above, Circle O is circumscribed about Triangle ABC, where AB=\(4\), AC=\(4\), and BC=\(6\). The area of Circle O can be expressed as \(\frac { a\pi }{ b }\), where \(a,b\) are constants, are positive integers, and share no common factors greater than 1. What is \(a+b\)?

Note: Not to scale

This is part of the set Circles, made by Chris H.

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