Answer:
[tex] (x + 2)^2 + (y + 3)^2 = 9[/tex]
Step-by-step explanation:
Center = (-2, - 3) = (h, k)
Radius (r) = 3
Equation of circle in centre radius form is given as:
[tex] (x - h) ^2 + (y - k) ^2 = r^2 \\
\therefore \{x - (-2)\}^2 + \{y - (-3)\}^2 = 3^2 \\
\purple {\boxed {\bold {\therefore(x + 2)^2 + (y + 3)^2 = 9}}} [/tex]