Coordinate Distance Calculator
How It Works
This coordinate distance calculator uses established formulas to provide accurate results.
The basic rule:
- Distance = √((x₂ - x₁)² + (y₂ - y₁)²)
- Midpoint = ((x₁ + x₂)/2, (y₁ + y₂)/2)
Results are estimates. Consult a professional for critical decisions.
Frequently Asked Questions
What is the distance formula?
The distance formula finds the distance between two points (x₁, y₁) and (x₂, y₂): d = √((x₂-x₁)² + (y₂-y₁)²). It is derived from the Pythagorean theorem.
What is the midpoint formula?
The midpoint formula finds the point exactly halfway between two points: M = ((x₁+x₂)/2, (y₁+y₂)/2). You simply average the x-coordinates and average the y-coordinates.
How is the distance formula related to the Pythagorean theorem?
The distance formula IS the Pythagorean theorem applied to a coordinate plane. The horizontal distance (Δx) and vertical distance (Δy) form the two legs of a right triangle, and the distance between the points is the hypotenuse.
Can the distance formula give a negative answer?
No. Distance is always positive or zero (if the two points are the same). The formula uses squares, and the square root of a positive number is always positive.