How does the Distance Between Points work?

2D: d = √((x₂−x₁)² + (y₂−y₁)²) Then: 3D: d = √((x₂−x₁)² + (y₂−y₁)² + (z₂−z₁)²) Then: Midpoint: ((x₁+x₂)/2, (y₁+y₂)/2) Then: Manhattan distance: |x₂−x₁| + |y₂−y₁|.

Can you give an example of how to use the Distance Between Points?

Example: Input (0,0) to (3,4) gives a result of d = √(9+16) = 5.

Is the Distance Between Points free to use?

Yes — completely free with no registration, download, or subscription required. All calculations happen instantly in your browser.

How accurate is the Distance Between Points?

Our Distance Between Points uses verified mathematical formulas and is accurate to multiple decimal places. Results are calculated in real-time using the same methods used by professionals.

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Distance Between Points

Distance Between Two Points

x₁

y₁

x₂

y₂

z₁ (3D, optional)

z₂ (3D, optional)

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Distance (2D)

5.0000

Midpoint x

1.5000

Midpoint y

2.0000

The distance formula calculates the straight-line distance between two points in 2D or 3D space. It is derived from the Pythagorean theorem.

Symbol	Name	Unit	Description
P₁	first point (x₁, y₁)	—	—
P₂	second point (x₂, y₂)	—	—
d	distance between points	length	—

Point 1	Point 2	Distance
(0,0)	(3,4)	5
(0,0)	(5,12)	13
(1,1)	(4,5)	5
(0,0,0)	(1,1,1)	1.732

References

›Distance formula — Khan Academy

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