Answer
$(x-2)^2 + (y-3)^2 = 25$
Work Step by Step
An equation of a circle would represent all sets of all points $R$ units away from the coordinate $(a, b)$, where $R$ is the radius and the center is at $(a,b)$.
Equation of a circle:
$(x-a)^2 + (y-b)^2 = R^2$
Using $R=5$ and the center to be $(2,3):$
$(x-2)^2 + (y-3)^2 = 25$
