Distance Calculator
Calculate the distance between two points in a 2D coordinate plane using the distance formula.
Distance
5.000000
Horizontal Dist3.00
Vertical Dist4.00
Formule
## How to Calculate Distance Between Two Points ### Formula **d = √((x₂ - x₁)² + (y₂ - y₁)²)** This is derived from the Pythagorean theorem. The horizontal and vertical distances form the legs of a right triangle, and the distance between the points is the hypotenuse.
Exemple Résolu
Find the distance between points (1, 2) and (4, 6).
- 01Δx = 4 - 1 = 3
- 02Δy = 6 - 2 = 4
- 03d = √(3² + 4²) = √(9 + 16) = √25 = 5
Questions Fréquentes
What is the distance formula?
The distance formula d = √((x₂-x₁)² + (y₂-y₁)²) calculates the straight-line distance between two points on a coordinate plane. It is based on the Pythagorean theorem.
Can this formula work in 3D?
For 3D, add a z component: d = √((x₂-x₁)² + (y₂-y₁)² + (z₂-z₁)²). This calculator handles 2D distances.
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