step 1
Find the radius of the circle
To find out the radius, calculate the distance between the center and any point that lie on the circle
so
(-2,3) and (-2,0)
Its a vertical distance
so
r=3-0=3 units
step 2
we have the radius r=3 units and the center (-2,3)
the equation of the circle is
[tex]\begin{gathered} (x+2)^2+(y-3)^2=3^2 \\ (x+2)^2+(y-3)^2=9 \end{gathered}[/tex]
