Euclidean Distance Calculator
Effortlessly learn how to calculate Euclidean distance with our calculator. It uses the Euclidean distance formula for precise results. Try it now!
Distance5
Midpoint(1.5, 2)
Slope1.33333333
Δx and Δy3 and 4
Manhattan distance7along the grid rather than direct
Angle from the x-axis53.130102°
The formula
d = √((x₂ − x₁)² + (y₂ − y₁)²)
It is Pythagoras
The horizontal and vertical gaps form the legs of a right triangle, and the distance is the hypotenuse. That is the whole derivation, and it extends directly to three dimensions by adding a Δz² term.
Manhattan distance adds the legs instead of taking the hypotenuse — the distance you would actually walk on a street grid, and always at least as large as the straight line.