Enter the coordinates of two points on the circle into the calculator to determine the center of the circle.

## Center Of Circle Formula

The following formula is used to calculate the center of a circle.

(h, k) = (x1 + x2 / 2, y1 + y2 / 2)

Variables:

- (h, k) is the center of the circle (coordinates) (x1, y1) and (x2, y2) are the coordinates of two points on the circle

To calculate the center of a circle, add the x-coordinates of two points on the circle and divide by 2 to get the x-coordinate of the center (h). Similarly, add the y-coordinates of the two points and divide by 2 to get the y-coordinate of the center (k).

## What is a Center Of Circle?

A center of a circle is a specific point inside the circle from which all points on the circumference (boundary) of the circle are equidistant. In other words, if you draw a line from the center to any point on the circle’s edge, that line, known as the radius, will always be the same length, no matter which point on the circle you choose.

## How to Calculate Center Of Circle?

The following steps outline how to calculate the Center of Circle using the given formula:

- First, determine the coordinates of the two points on the circle, (x1, y1) and (x2, y2).
- Next, substitute the values of (x1, y1) and (x2, y2) into the formula: (h, k) = (x1 + x2 / 2, y1 + y2 / 2).
- Finally, calculate the center of the circle, (h, k), using the formula.
- After inserting the values and calculating the result, check your answer with the given coordinates.

**Example Problem:**

Use the following variables as an example problem to test your knowledge:

(x1, y1) = (3, 5)

(x2, y2) = (7, 9)