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Distance Between Two Points Calculator

Find the straight-line distance between two coordinate points

Distance Between Two Points Formula

d = √((x₂ - x₁)² + (y₂ - y₁)²)

The distance formula comes from the Pythagorean theorem. The horizontal change x2-x1 and vertical change y2-y1 form the legs of a right triangle, and the distance between the two points is the hypotenuse.

⚠Enter real-number coordinates. If both points are identical, the distance is 0.

How the Distance Formula Works

The formula measures the direct straight-line length between two points by combining horizontal and vertical changes into one geometric distance.

Horizontal Change

Subtract x coordinates to get the run.

Vertical Change

Subtract y coordinates to get the rise.

Square Terms

Squaring makes direction irrelevant.

Square Root

The final square root returns the actual length.

💡 Example: For (1,2) and (4,6), d = √(3²+4²)=5.

Applications of Distance Between Two Points

Coordinate GeometryMappingPhysics DistanceGraphing

Frequently Asked Questions

What is a distance between two points calculator?▼

It calculates the straight-line distance between two points on a coordinate plane.

What is the distance formula?▼

The formula is d = sqrt((x2-x1)^2 + (y2-y1)^2).

How do I use this calculator?▼

Enter the x and y coordinates of two points, then click Calculate.

Can the distance be negative?▼

No. Distance is always zero or positive because it measures length.

Where is point distance used?▼

It is used in analytic geometry, mapping, graphing, physics, and coordinate proofs.

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