Distance Formula Calculator
Euclidean distance in any dimension.
Distance Formula Calculator
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Calculated instantly
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What This Calculator Does
The Distance Formula Calculator finds the Euclidean distance between two points. It works in both 2D and 3D and is derived from the Pythagorean theorem.
How It Works
2D: d = sqrt((x2-x1)^2 + (y2-y1)^2). 3D: add (z2-z1)^2.
Example
Points (1,2) and (4,6): d = sqrt(9+16) = 5.
Formula
d = sqrt((x2-x1)^2 + (y2-y1)^2)Reading the Results
Distance
The straight-line distance between the two points.
Frequently Asked Questions
What is the distance formula?
d = sqrt((x2-x1)^2 + (y2-y1)^2) for 2D. It is derived from the Pythagorean theorem.
Can I use this for 3D?
Yes. Add (z2-z1)^2 under the square root for the 3D distance formula.
Is this the shortest path?
Yes. Euclidean distance is the straight-line distance, the shortest path between two points in flat space.