Explore More Physics Tools
Coordinate Distance
Geometry, Maps, and Spatial Analysis
Calculate the exact length of the line segment connecting two points. Whether you are working on a geometry proof, analyzing map data, or programming game physics, the Euclidean distance formula is your key tool.
Derived from the Pythagorean theorem ($a^2 + b^2 = c^2$).
Extends the 2D formula by adding the depth axis ($z$).
Frequently Asked Questions
How do you find the distance between two points?
Use the distance formula: d = √[(x₂ - x₁)² + (y₂ - y₁)²]. For 3D points, add the z-term: + (z₂ - z₁)² inside the square root.
What is Euclidean distance?
Euclidean distance is the straight-line distance between two points in a space. It's calculated using the Pythagorean theorem.
Can distance be negative?
No. Distance represents a magnitude of length and is always a non-negative value. The calculation involves squaring differences (which makes them positive) and taking a square root.
How to find the midpoint of a segment?
The midpoint is the average of the coordinates. Midpoint = ((x₁ + x₂)/2, (y₁ + y₂)/2).
Does this work for 3D coordinates?
Yes! This tool has a 3D mode that allows you to input z-coordinates (depth) to find the distance between points in 3D space.
What if the points are the same?
If Point A and Point B have the exact same coordinates, the distance between them is 0.
How is slope related to distance?
Slope measures the steepness of the line connecting the points (rise over run), while distance measures the length of that line segment.
What is Manhattan distance?
Manhattan distance (or Taxicab geometry) measures distance by only moving along grid lines (like absolute x difference + absolute y difference), unlike Euclidean which measures the direct diagonal path.