3D Distance Calculator

The standard 3D Euclidean distance formula: d = sqrt((x2-x1)^2 + (y2-y1)^2 + (z2-z1)^2), the natural extension of the Pythagorean theorem into three dimensions. It's the same formula used in geometry, physics, 3D graphics, and CAD software to find the straight-line distance between two points in space.

Whatever unit your coordinates are already in; the formula itself is unit-agnostic, so if you enter coordinates in meters, the distance comes out in meters, and the same for feet, pixels, or any other unit. The unit dropdown only labels the result for clarity; it doesn't convert between units, since the calculator has no way to know what unit your original coordinates were in.

Yes, just leave both Z values at 0 (or set them equal to each other), and the 3D formula automatically collapses to the standard 2D distance formula. The "2D distance (X, Y only)" figure in the results does exactly this for you automatically, ignoring whatever you entered for Z, useful when you want both numbers side by side without re-entering anything.

It's the point exactly halfway between A and B on the straight line connecting them, useful for things like finding the center of an object defined by two corner points, placing a camera or light between two reference points in a 3D scene, or splitting a line segment in geometry problems.

Manhattan distance (also called taxicab distance) adds up the absolute differences along each axis separately, |Δx| + |Δy| + |Δz|, instead of combining them with a square root. It represents the distance you'd travel moving only along grid lines, like a taxi driving city blocks, rather than a straight diagonal line, and shows up in pathfinding, grid-based games, and certain optimization problems where diagonal movement isn't allowed.

Because a straight diagonal line is always the shortest path between two points, that's the whole idea behind the Pythagorean theorem, while Manhattan distance forces you to travel along the axes instead of cutting diagonally. The only time they're equal is when the two points differ along just one axis, since then there's no diagonal to cut.

Only in your own browser, if you choose to save a result: clicking Copy Result also adds that calculation to a small local history list so you can refer back to earlier points, stored only in your browser's local storage. Nothing is ever uploaded to a server, and clearing your browser data or clicking Clear removes it completely.