Distance Formula Calculator

Use our free distance formula calculator to compute the Euclidean distance between two points in 2D or 3D space. Shows step-by-step: coordinate differences, squares, sum, square root, midpoint, and slope (2D).

Math

Dimensions

x₁

y₁

z₁

x₂

y₂

z₂

Formula

Compute the Euclidean distance between two points in 2D or 3D space. Step-by-step breakdown: differences (Δx, Δy, Δz), squares, sum, square root, midpoint, and slope (2D).

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

Percentage: The percentage value you want to apply

Number: The original number or value

Result: The calculated result

How It Works

1Select 2D or 3D mode.
2Enter the coordinates of two points.
3Click Calculate.

Examples

Distance (0,0) to (3,4)

1.Δx=3, Δy=4, d=√(9+16)=√25=5

Result: 5

Distance (0,0,0) to (1,2,2)

1.Δx=1, Δy=2, Δz=2, d=√(1+4+4)=√9=3

Result: 3

Frequently Asked Questions

d = √((x₂−x₁)² + (y₂−y₁)²) in 2D, with + (z₂−z₁)² under the radical in 3D.

The 2D distance formula is a direct application of the Pythagorean theorem: c² = a² + b².

The point exactly halfway between two coordinates: ((x₁+x₂)/2, (y₁+y₂)/2).

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CalculateMe Team

Last updated: 2026-07-15

Distance Formula Calculator

Formula

How It Works

Examples

Distance (0,0) to (3,4)

Distance (0,0,0) to (1,2,2)

Frequently Asked Questions

What is the distance formula?

How is this related to the Pythagorean theorem?

What is the midpoint?

Related Calculators

Distance Formula Calculator

Formula

How It Works

Examples

Distance (0,0) to (3,4)

Distance (0,0,0) to (1,2,2)

Frequently Asked Questions

What is the distance formula?

How is this related to the Pythagorean theorem?

What is the midpoint?

Related Calculators