Given the graph of the circle
To write the equation of the circle , we need to find the radius and the coordinates of the center
As shown in the figure :
The center of the circle = (h,k) = ( 7 , 5 )
And the radius of the circle = r = 3
The general equation of the circle is :
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Substitute with the values of h, k and r :
So, the equation of the given circle is :
[tex]\begin{gathered} (x-7)^2+(y-5)^2=3^2 \\ \\ (x-7)^2+(y-5)^2=9 \end{gathered}[/tex]
