Here is a practice question on how the equation of a circle in the coordinate plane is related to the coordinates of its center and radius.
In the standard $(x, y)$ plane, a circle has a center at $(2, -3)$ and a circumference of $8\pi$. Which of the following is an equation for this circle?
- $\quad (x-2)^2 + (y-3)^2 = 16$
- $\quad (x+2)^2 + (y-3)^2 = 16$
- $\quad (x-2)^2 + (y+3)^2 = 16$
- $\quad (x+2)^2 + (y-3)^2 = 64$
- $\quad (x-2)^2 + (y+3)^2 = 64$
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