Distance Formula Calculator

2D Distance Calculator

Point 1 (x₁)

Point 1 (y₁)

Point 2 (x₂)

Point 2 (y₂)

3D Distance Calculator

Point 1 (x₁)

Point 1 (y₁)

Point 1 (z₁)

Point 2 (x₂)

Point 2 (y₂)

Point 2 (z₂)

About the Distance Formula

The distance formula is used to find the distance between two points in a coordinate system. It is derived from the Pythagorean theorem and is widely used in geometry, physics, and various applications.

2D Distance Formula

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

Where:

(x₁, y₁) are the coordinates of the first point
(x₂, y₂) are the coordinates of the second point
d is the distance between the two points

3D Distance Formula

d = √[(x₂ - x₁)² + (y₂ - y₁)² + (z₂ - z₁)²]

Where:

(x₁, y₁, z₁) are the coordinates of the first point
(x₂, y₂, z₂) are the coordinates of the second point
d is the distance between the two points

Applications of the Distance Formula

Navigation & GPS

Calculating distances between locations for mapping, navigation, and travel planning.

Computer Graphics

Determining distances between objects in 3D modeling, game design, and virtual reality.

Engineering & Construction

Measuring distances in architectural plans, structural designs, and surveying.

Education

Teaching geometric concepts and spatial relationships in mathematics courses.