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Answer:
The equation of the circle is [tex]x^2 + (y + 3)^2 = 11[/tex]
Step-by-step explanation:
Equation of a circle:
The equation of a circle with center [tex](x_0,y_0)[/tex] and radius r is given by:
[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]
Center (0, -3)
This means that [tex]x_0 = 0, y_0 = -3[/tex]
Radius square root of 11
This means that [tex]r = \sqrt{11}[/tex]
Equation of the circle:
[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]
[tex](x - 0)^2 + (y - (-3))^2 = (\sqrt{11})^2[/tex]
[tex]x^2 + (y + 3)^2 = 11[/tex]
The equation of the circle is [tex]x^2 + (y + 3)^2 = 11[/tex]