## Introduction to Distance Calculator?

Distance calculator is an online tool that helps you to **find the distance** between two points in a line segment in a fraction of a second. It calculates the x and y coordinates in a two-dimensional space.

The distance between two points calculator is a versatile tool that is used across various fields to measure the distance between points for navigation purposes, scientific research, and computer science, to do better analysis of the distance calculation for experiments.

## What is Distance?

Distance is the term that is used in math to find the **length of a line segment** from one coordinate to another coordinate in a cartesian space. The given cartesian space may be two dimensions or three dimensions depending on the context of your space.

It is the scalar quantity that has its magnitude and direction in mathematics. The distance point formula for two or three coordinates of a straight line is always present in carestain space.

## What is the Formula for Distance?

The distance between the point **formula** on a straight line in two-dimensional space x and y are coordinates of the given line segments that join together. The formula used by the distance calculator is

$$ d \;=\; \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} $$

## How to Calculate Distance?

For the **calculation of distance** in geometry, there is a specific distance equation used by the distance finder between points to find the distance between points in a line segment. This line segment joins lines together to find distance in 3D and 2-D space.

Here are the simple steps that are used by the distance between points calculator to find the distance between two points. These steps are:

**Step 1**:

Firstly, the distance between 2 points calculator determines the given points in which the value of x and y coordinates.

**Step 2**:

Now the coordinates points of line segments are found, so the distance between two points solver puts these points' values in the distance between two points formula.

**Step 3**:

Using the distance formula, the distance from points calculator finds the difference between x2 from x1 and y2 from y1.

**Step 4**:

After finding the difference, the distance of two points calculator takes the square root of the coordinate difference result.

**Step 5**:

Then it adds both coordinates after squaring them.

**Step 6**:

Lastly, the distance finder takes the square root of the given number for the solution of the given distance between two points question.

## Find the Distance Between two Points - Example

Distance Calculator can help you to solve distance problems to get an in-depth understanding. Let's see an **example** that explains how to find distance problems manually. For that, the examples are given below,

### Example: Calculate Distance between two Points using Distance Equation:

$$ (-5, 2)\; and\; (3,4) $$

**Solution**:

Here is the given points p1(-5,2) and p2(3,4) in a line segment in 2-D.

$$ x_1 \;=\; -5,\; x_2 \;=\; 2 $$

$$ y_1 \;=\; 3,\; y_2 \;=\; 4 $$

The formula for distance is,

$$ d \;=\; \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} $$

$$ =\; \sqrt{(3 - (-5))^2 + (4 - 2)^2} $$

$$ =\; \sqrt{(3 + 5)^2 + (2)^2} $$

$$ =\; \sqrt{8^2 + 2^2} $$

$$ =\; sqrt{64 + 4} $$

$$ =\; \sqrt{68} $$

$$ =\; 2 \sqrt{17} $$

Therefore the distance between two points are given as 2√17.

### Example: Find the distance between two points using distance equation:

$$ (-2.5, -1)\; and\; (-3, -1.5) $$

**Solution**:

Here is the given points p1(-2.5 , -1) and p2(-3,-1.5) in a line segment in 2-D.

$$ x_1 \;=\; -2.5,\; x_2 \;=\; -1 $$

$$ y_1 \;=\; -3,\; y_2 \;=\; -1.5 $$

The formula for distance is,

$$ d \;=\; \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} $$

$$ =\; \sqrt{[-3 - (-2.5)]^2 + [-1.5 - (-1)]^2} $$

$$ =\; \sqrt{(-3 + 2.5)^2 + (-1.5 + 1)^2} $$

$$ =\; \sqrt{(-0.5)^2 + (-0.5)^2} $$

$$ =\; \sqrt{0.25 + 0.25} $$

$$ =\; \sqrt{0.5} $$

$$ \approx 0.71 $$

Therefore the distance between two points is approximately equal to 0.71.

## How to Use the Distance Calculator?

The distance between two points calculator has a user-friendly design that enables you to use it to easily calculate distance between coordinates point questions.

Before adding the input point for solutions in the distance finder between points, you just need to follow our instructions. These instructions are:

**Enter the numerator**or denominator in the input box to find the fraction-to-decimal question solution.- Recheck your input number value before hitting the calculate button to start the calculation process in the distance between points calculator.
- Click on the “Calculate” button to get the desired result of your given value.
- If you want to try out our distance between 2 points calculator for the first time then you can use the load example.
- Click on the “Recalculate” button to get a new page for solving more distance problems to get solutions.

## Results from Distance Between two Points Calculator:

The distance calculator between two points gives you the **solution** to a given problem when you add the input to it. It provides you with solutions of distance between two points. It may contain as:

**Result Option**

When you click on the result option then the distance between two points solver provides you with a solution for the coordinates distance question.

**Possible Step**

When you click on the possible steps option it provides you with the solution of distance problems in steps.

## Advantages of Distance Finder:

The distance from points calculator has many advantages that are available whenever you use it to calculate distance problems for finding the length between two points in solutions. These advantages are:

- The distance between two points solver is a
**manageable tool**that can operate through electronic devices like laptops, computers, mobile, tablets, etc with the help of the internet. - It is a free tool that you can use it to find the distance between two or three points problems without taking any fee.
- Our distance between 2 points calculator saves the time and effort that you consume in doing complex calculations of distance between points problems in a few seconds.
- It is a learning tool so you can use this distance between points calculator for practice so that you get in-depth knowledge about this concept.
- The distance between two points calculator is a trustworthy tool that provides you with accurate solutions according to your input distance problem whenever you use it to get a solution.
- The distance calculator between two points provides you solutions of distance problems with a complete process in a step-by-step method for a better understanding.