Answer:
[tex](x +2)^2 + (y - 4)^2 = 36[/tex]
Step-by-step explanation:
Given
The attached plot
Required
The equation of the circle
The equation of a circle is:
[tex](x -a)^2 + (y - b)^2 = r^2[/tex]
Where
[tex]Center = (a,b)[/tex]
[tex]Radius = r[/tex]
From the plot, we have:
[tex](a,b) = (-2,4)[/tex]
[tex]r = 6[/tex]
So, we have:
[tex](x -(-2))^2 + (y - 4)^2 = 6^2[/tex]
[tex](x +2)^2 + (y - 4)^2 = 6^2[/tex]
[tex](x +2)^2 + (y - 4)^2 = 36[/tex]
Hence, the complete equation is:
[tex](x +2)^2 + (y - 4)^2 = 36[/tex]
