Distance Calculator

Calculate distance between two points

d = √[(x₂-x₁)² + (y₂-y₁)²]

This calculator finds the distance between two points in a 2D coordinate system using the distance formula.

About this Tool

The distance calculator uses the Pythagorean theorem to find the straight-line distance between two points in a 2D coordinate system. This fundamental mathematical tool is essential in geometry, physics, navigation, and computer graphics. By inputting the x and y coordinates of two points, you instantly get the precise distance between them. This calculation is the foundation for countless real-world applications, from mapping and GPS navigation to game development and data analysis.

Common Use Cases

Mathematics & Education

Learn coordinate geometry, practice distance formula problems, verify homework solutions, or visualize spatial relationships between points.

Navigation & Mapping

Calculate straight-line distances on maps, estimate travel distances, or plan optimal routes between locations on a coordinate grid.

Computer Graphics & Gaming

Calculate distances between objects in games, detect collisions, implement AI pathfinding, or measure screen coordinate separations.

Data Analysis & Statistics

Compute distances between data points in 2D space, identify clusters, perform proximity analysis, or calculate Euclidean distances in datasets.

Pro Tips

  • !

    Understanding Coordinates

    Coordinates are written as (x, y). The x-coordinate shows horizontal position, and y-coordinate shows vertical position. Negative values are allowed and indicate direction.

  • !

    The Pythagorean Connection

    The distance formula is derived from the Pythagorean theorem (a² + b² = c²). The horizontal and vertical distances form the legs, and the diagonal distance is the hypotenuse.

  • !

    Units Don't Matter

    As long as both points use the same units (pixels, meters, miles, etc.), the calculation works. The result will be in the same units as your input.

  • !

    Zero Distance

    If the calculated distance is zero, it means both points are at the exact same location - they have identical coordinates.

Frequently Asked Questions