# How do you find the equation of a circle whose diameter endpoints of (5,8) and (5,-4)?

##### 1 Answer

Nov 26, 2016

Please see the explanation.

#### Explanation:

The standard form for the equation of a circle is:

where

The center of the circle is halfway between the two endpoints, from

This means that the center is

This, also, tells us that the radius is 6.

We have have all of the information that we need to substitute into the standard form: