General form of the equation of a circle:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
The coordinates of the center are (h,k)
The radius is r.
For the given circle:
Coordinates of the center: (-2,4)
radius: 6
Equation:
[tex]\begin{gathered} (x-(-2))^2+(y-4)^2=6^2 \\ \\ (x-(-2))^2+(y-4)^2=36 \end{gathered}[/tex]
