Mathematik
Distance Calculator
Calculate the Euclidean distance between two points in 2D or 3D space.
Verwendung
- Select whether your points are on a 2D plane (X, Y) or in 3D space (X, Y, Z).
- Enter the coordinates for Point 1.
- Enter the coordinates for Point 2.
- The calculator determines the exact Euclidean distance between the two points, as well as the coordinate of the midpoint.
Formel
2D Distance Formula:
d = √[(x₂ - x₁)² + (y₂ - y₁)²]
3D Distance Formula:
d = √[(x₂ - x₁)² + (y₂ - y₁)² + (z₂ - z₁)²]
Midpoint Formula:
M = [ (x₁ + x₂)/2, (y₁ + y₂)/2, (z₁ + z₂)/2 ]
d = √[(x₂ - x₁)² + (y₂ - y₁)²]
3D Distance Formula:
d = √[(x₂ - x₁)² + (y₂ - y₁)² + (z₂ - z₁)²]
Midpoint Formula:
M = [ (x₁ + x₂)/2, (y₁ + y₂)/2, (z₁ + z₂)/2 ]
The Distance Calculator finds the straight-line (Euclidean) distance between two distinct points. Based on the Pythagorean theorem, this formula is foundational in geometry, computer graphics, and physics for both 2-dimensional planes and 3-dimensional space.