# Equation of a Circle with Diameter Endpoints Calculator

Do you have endpoints of a diameter? And are you looking for an easy way to find the equation of a circle? If you are saying **YES**, then our **equation of a circle with diameter endpoints** calculator is a perfect fit for you. Go on and insert the diameter endpoints in the indicated fields. You will obtain circle equations in **standard, general, and parametric form**.

Please read the following article to learn more about:

- How to find the equation of a circle with diameter endpoints?; and
- How to use our
**equation of a circle with diameter endpoints calculator**?

## What is a circle?

A circle is a 2-D closed geometrical shape whose boundary points are at an equal distance from the center of the geometry.

## Equation of a circle with diameter endpoints

To find the equation of a circle with diameter endpoints, you can use the following steps:

- Find the distance between the endpoints $(x_1,y_1)$ and $(x_2,y_2)$ by using
**distance formula**:

- Divide $d$ by 2 to get the radius $r$ of the circle.
- Next, you can use the
**midpoint formula**to find the x coordinates $h$ and y coordinates $k$ for the circle's center. The equation is given as:

By knowing the center coordinates: $h$,$k$, and radius $r$ we can get the circle equation in standard form. It is given as:

## More calculators to assist you!

We have a fleet of calculators to help you solve any problems related to circles. You can choose the calculators below as per your needs:

- Equation of a circle calculator;
- Center of a circle calculator;
- General form of the equation of a circle calculator;
- Standard equation of a circle calculator;
- General to standard form of a circle calculator;
- Standard form to general form of a circle calculator.

## FAQ

### What is the equation of the circle whose diameter endpoints are (6,4) and (2,8)?

The equation of a circle is `(x-4)² + (y-6)² = 8`

. You can find this equation by using the following steps:

- Find the
**x-coordinate (h) & y-coordinate (k) of the center of the circle**by taking the**summation of x-coordinates & y-coordinates**of the endpoints of the diameter respectively and dividing by`2`

. - Calculate the distance between
`(6,4)`

and`(2,8)`

using the**distance formula**and divide by`2`

to get the circle's radius. - Substitute the center coordinates and radius into a standard form to get the equation of the circle.

### What is the midpoint between the points (3,-6) and (4,7)?

The midpoint is `(1.5,0.5)`

. To calculate the midpoint coordinates: **sum the corresponding coordinates, and divide by 2**.