Given the endpoints of our diameter, we can use the distance formula to find the distance between the points.
Distance Formula:
[tex] \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2 [/tex]
([tex] x_2 [/tex] and [tex] x_1 [/tex] are the x-values of the coordinates and [tex] y_2 [/tex] and [tex] y_1 [/tex] are the y-values of the coordinates)
Inserting our values into the distance formula we can find the length of the diameter:
[tex] \sqrt{(4 - 4)^2 + (-3 - 3)^2} [/tex]
[tex] \sqrt{(-6)^2} [/tex]
[tex] \sqrt{36} = \boxed{6}[/tex]
The diameter of our circle is 6, or choice C.
