Distance Formula Calculator

Use this distance formula calculator to find the straight-line distance between two points on a coordinate plane using d = √((x₂ − x₁)² + (y₂ − y₁)²).

x₁
y₁
x₂
y₂

How to Use the Distance Formula Calculator

Enter two coordinate points to calculate the straight-line distance between them.

Practical Example

Between (1,2) and (4,6), the distance is 5 because √((4−1)²+(6−2)²)=5.

Factors That Affect the Result

Use matching x and y coordinates in the same units. The formula measures Euclidean distance on a flat Cartesian plane.

Frequently Asked Questions

Can coordinates be negative?

Yes.

Is this based on the Pythagorean theorem?

Yes. The distance formula comes directly from it.

Does it work for geographic coordinates?

Not accurately for large Earth-surface distances.

Using the Distance Formula

The distance formula finds the straight-line distance between two points on a coordinate plane. For points (x₁, y₁) and (x₂, y₂), the distance is √((x₂ − x₁)² + (y₂ − y₁)²). This comes directly from the Pythagorean theorem: the horizontal difference and vertical difference form the two legs of a right triangle, while the distance between the points is the hypotenuse. For example, between (1, 2) and (4, 6), the coordinate differences are 3 and 4, so the distance is √(9 + 16) = 5. The order of the points does not change the result because each difference is squared. Keep both coordinates in compatible units when the values represent real measurements, and avoid rounding intermediate steps if you need the most accurate final result.

Distance Formula Calculator – Find Distance Between Two Points