To write the equation of a circle you need the coordinates of the center (h,k) and the radius (r):
[tex](x-h)^2+(y-k)^2=r^2[/tex]
For the given circle:
Center: (3,5)
Radius (distance between center and circunference): 7 units
h= 3
k= 5
r= 7
Equation:
[tex]\begin{gathered} (x-3)^2+(y-5)^2=7^2 \\ \\ (x-3)^2+(y-5)^2=49 \end{gathered}[/tex]
