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Radius from a Circle Equation

Geometry · Math Count PH 2026 917
What is the radius of the circle whose equation is $9x^2 + 9y^2 - 36x - 108y + 356 = 0$? The answer is in the form $\frac{\alpha}{\beta}$ where $\alpha$ and $\beta$ are coprime positive integers. Input the value of $\alpha + \beta$.