The equation of the circle is [tex]x^2 + (y + 3)^2 = 4[/tex]
The equation of a circle is represented as:
[tex](x - a)^2 + (y - b)^2 = r^2[/tex]
Where:
Center = (a,b)
Radius = r
From the figure, we have:
(a,b) = (0,-3)
r = 2
So, the equation becomes
[tex](x - 0)^2 + (y + 3)^2 = 2^2[/tex]
Evaluate the exponent
[tex]x^2 + (y + 3)^2 = 4[/tex]
Hence, the equation of the circle is [tex]x^2 + (y + 3)^2 = 4[/tex]
Read more about circle equations at:
https://brainly.com/question/1559324
