The equation of any given circle is: [tex] {(x - h)}^{2} + {(y - k)}^{2} = {r}^{2} [/tex] where (h, k) is the center and r is the radius.
In the problem, we are given the center, and the radius. When we plug them in: [tex] {(x - 3)}^{2} + {(y - 7)}^{2} = 36[/tex] we got the formula of the circle.
