Respuesta :

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