Question

What is the diameter of a circle with the endpoints (4, 3) and (4, -3)?

Answer 1

Given the endpoints of our diameter, we can use the distance formula to find the distance between the points.

Distance Formula:

$\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2$

($x_2$ and $x_1$ are the x-values of the coordinates and $y_2$ and $y_1$ are the y-values of the coordinates)

Inserting our values into the distance formula we can find the length of the diameter:

$\sqrt{(4 - 4)^2 + (-3 - 3)^2}$

$\sqrt{(-6)^2}$

$\sqrt{36} = \boxed{6}$

The diameter of our circle is 6, or choice C.