# How do you write an equation for a circle with endpoints of the diameter at (2, -5) and (-4, 3)?

##### 1 Answer

Aug 11, 2016

#### Explanation:

To obtain the radius you first can find the lenght of the diameter by calculating the distance between its endpoints:

the radius is then the half of the diameter:

The center of the circle is the middlepoint of the diameter:

The equation of the circle is obtained by substituting the center and the radius in the following:

where the center is

and the radius is 5:

in the standard form: