Distance Calculator
Calculate the straight-line distance between two points in 2D or 3D space. Also compute Manhattan distance and angle of elevation. Free and instant.
Distance Calculator
toolznova.com • Free Calculator
How to Use
Calculate distance in 3 steps.
Choose Mode
Select 2D, 3D, or Manhattan distance.
Enter Coordinates
Enter the coordinates of both points.
Get Distance
Click Calculate for the exact distance between the points.
Why ToolzNova?
Instant
Results in milliseconds.
Accurate
Precise formulas every time.
Private
No data sent anywhere.
Everywhere
Mobile, tablet, desktop.
Why Calculate Distance?
- Geometry: Distance between points is fundamental to coordinate geometry.
- Physics: Displacement and vector magnitude calculations.
- Computer Graphics: Collision detection and nearest-neighbor algorithms.
- GPS: Distance calculations for navigation systems.
- Machine Learning: k-NN algorithm uses Euclidean and Manhattan distances.
- Game Development: Character movement and range detection.
Tips & Examples
- 2D distance formula: √((x₂-x₁)²+(y₂-y₁)²) — Pythagorean theorem.
- 3D distance: √((x₂-x₁)²+(y₂-y₁)²+(z₂-z₁)²) — extends to 3 dimensions.
- Manhattan distance: |x₂-x₁|+|y₂-y₁| — grid movement (city blocks).
- Euclidean distance is always ≤ Manhattan distance for same points.
- Midpoint: ((x₁+x₂)/2, (y₁+y₂)/2) — average of coordinates.
- 3D distance same formula with additional (z₂-z₁)² term added.
Free Distance Calculator Online
ToolzNova's free distance calculator computes Euclidean distance in 2D and 3D space, and Manhattan distance (city block distance) between any two points.
Distance formulas are used throughout mathematics, physics, computer science, and engineering. The Euclidean distance is the straight-line distance (Pythagorean theorem extended to 2D or 3D).
Distance Formulas
2D: d = √((x₂-x₁)²+(y₂-y₁)²). 3D: d = √((x₂-x₁)²+(y₂-y₁)²+(z₂-z₁)²). Manhattan: |x₂-x₁|+|y₂-y₁|.