# How do you write an equation of a circle whose diameter has endpoints (-2, 3) and (4, -1)?

##### 1 Answer

Aug 23, 2016

#### Explanation:

To obtain the equation of the circle, you need to know its center and radius; the center is the middle point of the given points and the radius is the half of the diameter, so the center is

and the radius is

Then let's substitute them in the equation:

to have