Answer:
[tex]\huge\purple{ x^2 +(y+2)^2 = 4}[/tex]
Step-by-step explanation:
Circle is centred at (0, -2)
-> h = 0 & k = - 2
radius of the circle (r) = y-coordinate of the center = - 2
Equation of circle in standard form is given as:
[tex](x-h)^2 +(y-k)^2 = r^2[/tex]
Plugging the values of h, k and r in the above equation, we find:
[tex](x-0)^2 +[y-(-2)]^2 = (-2)^2[/tex]
[tex]\implies\huge\orange{ x^2 +(y+2)^2 = 4}[/tex]
This is the required equation of circle.
