## Introduction to Distance Formula Calculator?

Distance formula calculator is a free online tool that is used to **find the distance** between two points in two or three dimensions. It evaluates the length of the space from one point to another point in a fraction of a second.

## What is the Distance Formula?

Distance formula is the formula that is used to calculate the **distance between points** that create a line, whereas distance is the measurement of a line segment that is connected. The formula for distance used to find the distance for two dimension or three dimension plane.

## Distance Formula:

The **distance formula** is taken from the Euclidean distance formula for a two-dimensional plane. In the same way, you can find the distance in 3-D. The Distance formula calculator uses the following formula to find the distance between the points,

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

- x1 and y1 are the coordinates of one point.
- x2 and y2 are the coordinates of other points.
- d is the distance of two-point.
- In 3-D add z1 and z2 coordinates in both the points respectively.

## Evaluation Process of Distance Formula Solver?

The length calculator geometry provides an easy method for the evaluation problems related to distance for beginners or anyone and calculate distance between two points quickly.

When you add input to this tool, it will **check the coordinate** values x1,x2,y1,y2 of both points. Here the order of the first and second points does not matter, you can choose any of them as a first point.

Then, the fractional distance calculator adds these coordinates into the distance formula and calculates it. After calculation, it takes the square root and gives a solution in a run of time. In the same way, you can find distance solutions in three dimensions. Let us examine an example of distance.

## Example of Distance Formula:

An **example** of the distance problem is given to know the manual calculation. Although our Distance formula calculator can solve your problems but it is crucial to understand each step.

### Example:

Find the distance between two points that are (-3,2) and (3,5).

**Solution:**

Suppose we let (-3,2) be the first point so it will take the subscript of 1, therefore, x1 = -3 and y1 = 3. As well, the (3,5) is the second point, it will have a subscript of 2, therefore, x2 = 3 and y2 = 5.

Here is the calculation,

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

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

$$ \sqrt{(6)^2 + (3)^2} $$

$$ \sqrt{36+9} $$

$$ \sqrt{45} $$

$$ \sqrt{9} . \sqrt{5} $$

$$ d \;=\; \sqrt{5}[3] $$

## How to Use Distance Formula Calculator?

The distance formula solver has an easy-to-use interface, everyone can use it to solve distance questions by just following our guidelines which are given:

- Enter the x1 and y1 coordinates of the point A in the respective field.
- Enter the x2 and y2 coordinates of the point B in its relevant field
- If you want to find distance in three-dimension you can
**add z1**and z2 coordinates values in the first and second points respectively. - Click the “Calculate” button to get the solution of a given distance problem

## Outcomes from Length Calculator Geometry:

You get the result of your given distance problem after adding input in the distance formula calculator. It may contain

**Result Option**

It gives you a solution as per your given distance question.

**Steps Option**

Our tool provides you with **solutions** in a step-by-step process.

## Advantages of Fractional Distance Calculator:

The length calculator geometry provides multiple advantages to a user while using this tool to find distance questions. These advantages are:

- It provides an easy solution of distance problems with steps.
- The distance formula solver is a
**speedy tool**as it gives solutions quickly. - It is a free online tool for distance problems.
- You can use our distance formula calculator through an electronic device with internet connectivity.
- Our tool provides you accurate results with 100% accuracy.