Distance Calculator

Calculate the distance between two points in 2D or 3D.

Select dimension

Point 1

Point 2

Visualization

xy P₁(0, 0) P₂(3, 4) d = 5

Distance

5

units

Δx

0,00

Δy

0,00

Midpoint

M = (1.5, 2)

Calculation

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

d = √[(3 - 0)² + (4 - 0)²]

d = √[(3)² + (4)²]

d = √[9 + 16]

d = 5

What is Euclidean Distance?

It's the length of the straight line segment connecting two points. It's the shortest distance between them.

Formulas

2D: d = √((x₂-x₁)² + (y₂-y₁)²). 3D: d = √((x₂-x₁)² + (y₂-y₁)² + (z₂-z₁)²).

Applications

GPS navigation, video games, robotics, data analysis, maps, and geometric calculations.

Preguntas Frecuentes

What is the midpoint?

It's the point exactly halfway between two points: ((x₁+x₂)/2, (y₁+y₂)/2).

Does the formula work with negative coordinates?

Yes, it works with any real coordinates, positive or negative.

How do I calculate distance on a map?

Use GPS coordinates and geographic distance formulas that account for Earth's curvature.