Determine the equation of the circle graphed below

Answer:
(x-5)^2 + (y-6)^2 = 13.03
Step-by-step explanation:
use distance formula to find radius :
d=[tex]\sqrt{(7-5)^{2} + (9-6)^{2} }[/tex]
d = 3.61 rounded
so, r = 3.61 and [tex]r^{2}[/tex] = 13.03
Circle formula = ( x - h )^2 + ( y - k )^2 = r^2
(h,k) is the center
substitute the knowns
(x-5)^2 + (y-6)^2 = 13.03