The equation of the circle in the figure is [tex](x + 1)^2 + (y - 1)^2= 36[/tex]
How to determine the circle equation?
From the figure, we have the following parameters:
Center, (a,b) = (-1,1)
Radius, r = 3
The equation of the circle is then calculated using:
[tex](x - a)^2 + (y - b)^2= r^2[/tex]
So, we have:
[tex](x + 1)^2 + (y - 1)^2= 6^2[/tex]
Evaluate
[tex](x + 1)^2 + (y - 1)^2= 36[/tex]
Hence, the equation of the circle in the figure is [tex](x + 1)^2 + (y - 1)^2= 36[/tex]
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