__Category__: Analytic Geometry, Plane Geometry"Published in Vacaville, California, USA"

Find the equation of a circle if the endpoints of a diameter are A (-1, 3) and B (7, -5).

__Solution__:

To illustrate the problem, it is better to draw the figure as follows

Photo by Math Principles in Everyday Life |

The first thing that we need to do is to get the center of a circle by using the midpoint formula of the two points as follows

Hence, the center of a circle is C (3, -1).

Next, get the radius of a circle by using the distance formula of two points as follows

Therefore, the equation of a circle is