Given the center of the circle = ( 0 , 9 ) and the radius = r = 7
The general equation of the circle is :
[tex](x-h)^2+(y-k)^2=r^2[/tex]Where: (h,k) are the coordinates of the circle and r is the radius
so, (h,k) = ( 0,9) and r = 7
substitute with the values of h, k, and r
so, the equation of the circle will be :
[tex]\begin{gathered} (x-0)^2+(y-9)^2=7^2 \\ \\ x^2+(y-9)^2=49 \end{gathered}[/tex]