The Point in the Middle

Given two endpoints, the midpoint is the point exactly halfway between them. This midpoint calculator averages each coordinate separately — in 2D or 3D — and also reports the straight-line distance between the endpoints.

The Formula

For P₁ = (x₁, y₁) and P₂ = (x₂, y₂), the midpoint is ((x₁+x₂)/2, (y₁+y₂)/2). In 3D, add the z-average. It is coordinate-by-coordinate averaging, which is why the midpoint of a segment is also the center of its bounding box and the center of its circle of rotation.

Pairing with Distance

The distance formula √((x₂−x₁)² + (y₂−y₁)²) is the Pythagorean theorem in coordinates. Together, midpoint and distance give you the full picture of a segment: where its center lies and how long it is — the two numbers you reach for in geometry and design work.