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Distance Calculator

Introduction

Distance is the amount of space or the physical length between two points. It quantitatively measures how far apart two points in space are. With our Distance Calculator, you can calculate the distance between two points in two-dimensional or three-dimensional space using the coordinates in space. Read on to know more!

The straight line distance between two points is also called the Euclidean distance and is based on the Pythagorean theorem.

We measure the distance between two points generally in meters, kilometers, feet, and miles.

How to use the Distance Calculator?

Using the distance calculator, you can calculate the distance (Euclidean Distance) between two points in two-dimensional or three-dimensional space using the coordinates in space.

2D Distance

Basically, the distance between two points in two-dimensional space can be calculated by inputting the values for x-coordinates and y-coordinates for the two points.

The variables in the calculator include

x1 The x-coordinate of the first point

y1 The y-coordinate of the first point

x2 The x-coordinate of the second point

y2 The y-coordinate of the second point

Distance We can calculate the 2D distance between the two points using the following formula

d=(x2−x1)2−(y2−y1)2d = \sqrt{(x_2 - x_1)^2 - (y_2 - y_1)^2}

3D Distance

Basically, the distance between two points in three-dimensional space can be calculated by inputting the values for x, y, and z coordinates for the two points.

The variables in the calculator include

x1 The x-coordinate of the first point

y1 The y-coordinate of the first point

z1 The z-coordinate of the first point

x2 The x-coordinate of the second point

y2 The y-coordinate of the second point

z2 The z-coordinate of the second point

Distance We can calculate the 3D distance between the two points using the following formula

d=(x2−x1)2+(y2−y1)2+(z2−z1)2d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2 + (z_2 - z_1)^2}

What is Distance?

Distance is the amount of space or the physical length between two points. When we say distance here we mean the straight line distance between two points which is also called the Euclidean distance, which we can calculate based on the Pythagorean theorem.

In physics, distance can also refer to the length an object has moved, if the path the object takes is full of twists and turns, the total length of movement of the object is called as distance.

The length between the object’s starting and ending point is also called displacement.

To emphasize, in this discussion, we are referring to the Euclidean distance or the straight line distance between two points.

Euclidean distance measures only the straight line distance between two points. Thus, it can either be positive or zero and cannot be negative.

How is Distance Calculated?

Distance is calculated using the following formulas, we can calculate the distance for two-dimensional space (2D) and for three-dimensional space (3D).

Furthermore, if you want to calculate the distance for higher dimensions, we can use the same method by adding the coordinates.

How to calculate 2D Distance?

We can calculate the 2D distance using the following formula shown below

d=(x2−x1)2−(y2−y1)2d = \sqrt{(x_2 - x_1)^2 - (y_2 - y_1)^2}

Where,

d → Distance between two points

x2 → The x-coordinate of the second point

x1 → The x-coordinate of the first point

y2 → The y-coordinate of the second point

y1 → The y-coordinate of the first point

How to calculate 3D Distance?

We can calculate the 3D distance using the following formula shown below

d=(x2−x1)2+(y2−y1)2+(z2−z1)2d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2 + (z_2 - z_1)^2}

Where,

d → Distance between two points

x2 → The x-coordinate of the second point

x1 → The x-coordinate of the first point

y2 → The y-coordinate of the second point

y1 → The y-coordinate of the first point

z2 → The z-coordinate of the second point

z1 → The z-coordinate of the first point

Author

hexacalculator design team

Our team blends expertise in mathematics, finance, engineering, physics, and statistics to create advanced, user-friendly calculators. We ensure accuracy, robustness, and simplicity, catering to professionals, students, and enthusiasts. Our diverse skills make complex calculations accessible and reliable for all users.

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