Answer:
D. [tex](x-3)^2 + (y-2)^2 = 117[/tex]
Step-by-step explanation:
To write the equation of a circle, use the formula [tex](x-h)^2+(y-k)^2 = r^2[/tex] where the center of the circle is (h, k).
This means the equation is [tex](x-3)^2 + (y-2)^2 = r^2[/tex].
Find the radius r by finding the distance between (3,2) and (-6,-4) using the distance formula.
[tex]d = \sqrt{(-6-3)^2 + (-4-2)^2} =\sqrt{(-9)^2 + (-6)^2} =\sqrt{81+36} =\sqrt{117}[/tex]
Since the radius is √117 and therefore [tex]r^2 = 117[/tex].
The equation is [tex](x-3)^2 + (y-2)^2 = 117[/tex].
