Distance Between Two Points Calculator
Table of contents
What is distance? Distance between two points definitionDistance between two points formulaHow do you find the distance between two points?Other useful toolsFAQsOur distance between two points calculator can quickly find the distance between any two points confined to a twodimensional plane.
Within this short text, we will cover:
 How to find the distance between two points;
 How to use the distance between two points formula; and
 What is the shortest distance between two points.
Let's start!
Prefer watching rather than reading? Learn all you need in 90 seconds with this video we made for you:
What is distance? Distance between two points definition
In its simplest definition, the distance between two points in a 2D plane is the length of the line segment connecting them.
For example, if we put into a graph the points $(0, 4)$ and $(4, 4)$, draw a line between them, and measure this line segment's length, we would get $4$ as a result.
This definition is derived from the Euclidean distance definition, and we can also define 1D, 3D, 4D, and any finite dimension Euclidean distance.
Of course, plotting and measuring lines anytime we want to find the distance between two points is not practical. That's where the distance between two points formula comes in.
Distance between two points formula
We can obtain the mathematical distance definition from the Euclidean distance formula for a twodimensional plane:
where:
 $x_{1}$ and $y_{1}$ are the coordinates of any of the two points;
 $x_{2}$ and $y_{2}$ are the coordinates of the other point; and
 $d$ is the distance between them.
💡 This definition is what makes the shortest distance between two points on a twodimensional plane always a line! Don't worry. We won't dwell deeper into math in this distance between two points calculator 😉.
How do you find the distance between two points?
To find the distance between two points, simply follow these steps:

Find the XY coordinates of the first point (x₁, y₁). It doesn't matter which point we choose as long as we don't mix coordinates between them.

Find the XY coordinates of the other point (x₂, y₂).

Replace these values in the distance between two points formula:
√[(x₂  x₁)² + (y₂  y₁)²].
Other useful tools
If you enjoyed this distance between two points calculator and want to learn more about other distance definitions, check any of our other distance calculation tools:
🙋 Give it a try! Type any two points' coordinates in the distance between two points calculator, and it will automatically output the distance between them.
What is the shortest distance between two points?
The shortest distance between two points is a straight line connecting them. This definition only applies to flat surfaces or spaces. In a sphere, for example, the shortest distance between two points is an arc called great circle distance.
What is the distance between (5, 10) and (8, 9)?
3.16228. We can find the distance between points (5, 10) and (8, 9) by replacing them in the distance between two points formula:
√[(8  5)² + (9  10)²] = 3.16228
.