how do you find the diameter with two given endpoints

Question

the endpoints are (7,-10) and (33,-10)

Answer 1

Recall that the distance, d, between any two points (x₁, y₁) and (x₂, y₂) is given by the following formula:

     d = √((x₁ - x₂)²+(y₁ - y₂)²)

Assuming that the two given endpoints are on the circle, the diameter of the circle is the distance between these two endpoints. That is, with the following given endpoints of a circle:

     Point 1: (x₁, y₁) = (7, -10)       and       Point 2: (x₂, y₂) = (33, -10)

The diameter of the circle is given by the distance between these two points:

     d = √((7 - 33)²+(-10 - (-10))²)

        = √((-26)²+(0)²) 

        = √((-26)²)

        = √(676)

        = 26