Distance Calculator

It is a measurement of 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.

 

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 Average Velocity Calculator.

Example

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

Given data

(x1-x2) = (4, 12)
(y1-y2) = (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 x1 in the first required input.

Step 2: Enter the value of x2 in the second required input.

Step 3: Enter the value of y1 in the third required input.

Step 4: Enter the value of y2 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