# Distance Calculator

It is a **measurement of the shortest distance of two points** from each other. In simple words, it is a **measure of the length of space between two points**. It is also called **displacement**.

**Table of Contents**

## Formula of Distance Calculator

The formula to calculate the distance is as follows

\[d = \sqrt {{{\left( {{x_2} - {x_1}} \right)}^2} + {{\left( {{y_2} - {y_1}} \right)}^2}} \]

In the distance formula, x and y are the coordinates of a line segment. Where x1 is the first coordinate and x2 is the second coordinate of a line, y1 and y2 are the same as the x coordinates.

**Note:**

If you want to calculate average velocity, you can use the Average Velocity Calculator.

### Example

Find the distance between two points (4, 12) and (8, 11) by using the distance formula.

**Given data**

(x_{1}-x_{2}) = (4, 12)

(y_{1}-y_{2}) = (8, 11)

**To Find**

Distance = ?

**Solution**

By using the formula listed below, you can find the distance.

\[d = \sqrt {{{\left( {{x_2} - {x_1}} \right)}^2} + {{\left( {{y_2} - {y_1}} \right)}^2}} \]

Putting values in the formula:

\[d = \sqrt {{{\left( {12 - 4} \right)}^2} + {{\left( {11 - 8} \right)}^2}} \] \[d = \sqrt {{{\left( 8 \right)}^2} + {{\left( 3 \right)}^2}} \] \[d = \sqrt {64 + 9} \] \[d = \sqrt {73} \] \[d = 8.54\]

So, we have the distance between two points of a line segment is **8.54**

### How to use the Distance Calculator?

The steps to use the distance calculator are as follows:

**Step 1: **Enter the value of x_{1} in the first required input.

**Step 2: **Enter the value of x_{2} in the second required input.

**Step 3: **Enter the value of y_{1} in the third required input.

**Step 4: **Enter the value of y_{2} in the fourth required input.

**Step 5: **The calculator will automatically display an answer on the screen.

### Calculator use

To find the distance between the two points of a line segment, you can use our distance formula calculator. Just enter the required values, and the answer will be shown in the output field