Distance Between Two Points
The distance between two points in a 2D plane is calculated using the Euclidean distance formula, derived directly from the Pythagorean theorem. Given two points (x₁, y₁) and (x₂, y₂), the straight-line distance is the length of the hypotenuse of the right triangle formed by their horizontal and vertical separations.
This calculator instantly computes the distance and also shows Δx and Δy — the horizontal and vertical components — along with a full step-by-step breakdown of the formula. It is useful in geometry, navigation, physics, game development, and any field where spatial measurements matter.
How it works
d = √((x₂ − x₁)² + (y₂ − y₁)²). Where Δx = x₂ − x₁ and Δy = y₂ − y₁, this simplifies to d = √(Δx² + Δy²). This is a direct application of the Pythagorean theorem.
Use cases
- Finding the straight-line distance between two map coordinates
- Calculating the length of a line segment in geometry class
- Measuring distances between objects in 2D game engines
- Determining the hypotenuse of a right triangle from its legs
- Verifying distances in CAD drawings and architectural blueprints