Geodésica plano d(a,b)
- Created by
- Renato Passos, Eng. de Software
- Reviewed by
- Renato Passos, Eng. de Software
Last updated: Apr 18, 2026
About this calculator
The geodesic plane distance calculator d(a,b) computes the shortest distance between two points on a Cartesian plane using the formula √((Δx)² + (Δy)²). This formula is derived from the Pythagorean theorem and represents the 'straight line' between points in a flat space, making it useful in geography, engineering, and logistics.
To use the calculator, input the coordinates (x1, y1) and (x2, y2) of the points. The formula calculates the coordinate differences (Δx and Δy), squares them, sums the values, and takes the square root. The result is the geodesic distance on the plane, the shortest path between two points in a two-dimensional space.
This tool is ideal for projects involving route planning on flat terrains, map distance calculations, or computational geometry analyses. However, note that it does not account for Earth's curvature or terrain obstacles, limiting its use to theoretical scenarios or flat surfaces.
Common precautions include ensuring coordinates are in the same unit system and that the environment is genuinely flat. On curved or spherical surfaces, such as Earth, other formulas like haversine or spherical geodesics are required. Always verify the tool's suitability for your specific use case.
Frequently asked questions
How does the d(a,b) formula work?
The formula calculates the squared differences of x and y coordinates, sums them, and takes the square root. This gives the shortest distance on a plane.
Can I use this calculator for curved surfaces?
No. The formula is valid only for flat planes. For curved surfaces, use spherical geodesic or curvature-specific formulas.
What units should I use for coordinates?
Use the same units for x and y (e.g., meters, kilometers). The distance result will match the input units.
What is this calculator used for in logistics?
It helps plan theoretical shortest routes, such as for transportation or network installation, ignoring obstacles.
Why is the result shorter than the actual distance?
Because the formula ignores obstacles and terrain. Geodesic distance is the ideal path, not the real-world path.