Enter the Euclidean coordinates of two points into the calculator. The Euclidean distance calculator will evaluate the distance between the two points.

## Euclidean Distance Formula

The following formula is used to calculate the euclidean distance between points.

D = √[ ( X2-X1)^2 + (Y2-Y1)^2)

• Where D is the distance
• X1 and X2 are the x-coordinates
• Y1 and Y2 are the y-coordinates

To calculate a Euclidean distance, add together the values of the difference between the X coordinates squared plus the difference between the y coordinates squared, then take the square root of the result.

## Euclidean Distance Definition

A euclidean distance is defined as any length or distance found within the euclidean 2 or 3-dimensional space.

## Euclidean Distance Example

How to calculate Euclidean distance

1. First, determine the coordinates of point 1

Determine both the x and y coordinates of point 1.

2. Next, determine the coordinates of point 2

Determine both the x and y coordinates of point 2 using the same method as in step 1.

3. Calculate the distance

Enter the information from steps 1 and 2 into the equation to calculate the distance in the euclidean space.

## FAQ

What is the euclidean space?

The Euclidean space is the 2 or 3-dimensional spaces in geometry in which axioms or objects can exist.