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Distance Calculator

Calculate the distance between two points instantly using the distance formula. Find distances in coordinate geometry accurately with our free Distance Calculator.

Calculate the distance between two points using the coordinate distance formula. Perfect for geometry, algebra, and coordinate plane calculations.

Point A

Point B

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Distance Formula

d = √((x₂ - x₁)² + (y₂ - y₁)²)

The distance formula calculates the straight-line distance between two points in a coordinate plane using the Pythagorean Theorem.

Example Calculation

Input: Point A (1, 2), Point B (4, 6)

Output: Distance = 5

Common Uses

  • • Coordinate Geometry
  • • Algebra
  • • Mathematics
  • • Engineering
  • • Physics
  • • Education
  • • Graph Analysis
  • • Navigation

How the Distance Calculator Works

1

Enter First Point

Input the x and y coordinates of the first point.

2

Enter Second Point

Input the x and y coordinates of the second point.

3

Apply Distance Formula

The calculator applies the coordinate distance formula.

4

View Result

See the exact and decimal distance instantly.

Questions about this calculator

The distance formula calculates the straight-line distance between two points in a coordinate plane.

Distance is found using the square root of the sum of squared differences between x and y coordinates.

The distance is 5 units.

It is widely used in geometry, physics, engineering, navigation, and computer graphics.

No, distance is always non-negative because it represents a physical length, and the squared differences under the square root always yield a positive value or zero.

Distance between two coordinate points

This calculator measures the straight-line distance between A(x₁, y₁) and B(x₂, y₂) on a two-dimensional Cartesian plane. Enter all four coordinates; negative values and decimals are valid.

Distance formula

The calculation uses d = √((x₂ - x₁)² + (y₂ - y₁)²). The horizontal change is Δx = x₂ - x₁ and the vertical change is Δy = y₂ - y₁. Squaring these changes makes their direction irrelevant, so distance can never be negative.

Worked example

For A(1, 2) and B(4, 6), Δx is 3 and Δy is 4. The squared distance is 3² + 4² = 25, so the distance is √25 = 5 units. The result has the same unit as the coordinate axes.

What this result does not measure

This is Euclidean distance on a flat coordinate plane. It does not calculate driving distance, travel time, or distance over the curved surface of Earth. For maps, use a geographic distance method that works with latitude and longitude.

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