Distance Two Points
Calculator
Results
- Distance
- 5
- Horizontal difference (Δx)
- 3
- Vertical difference (Δy)
- 4
- Midpoint x
- 2.5
- Midpoint y
- 4
Results
| Distance | 5 |
| Horizontal difference (Δx) | 3 |
| Vertical difference (Δy) | 4 |
| Midpoint x | 2.5 |
| Midpoint y | 4 |
formula-map diagram
- Distance
- 5
- Horizontal difference (Δx)
- 3
- Vertical difference (Δy)
- 4
- Midpoint x
- 2.5
- Midpoint y
- 4
Formula map
Formula
d = √((x₂ − x₁)² + (y₂ − y₁)²)= 5
Note
Simplified model: these are exact results of the stated idealised formulas, assuming perfect shapes and exact inputs. Real measurements carry error, and the ellipse perimeter is a Ramanujan approximation. Verify independently before relying on these figures.
More in Mathematics
See all →Frequently asked questions
What coordinates do I need?+
The (x, y) coordinates of both points. If you're working in 3D, some versions also accept a z-coordinate for each point.
What formula is used?+
The distance formula, derived from the Pythagorean theorem: d = √((x₂-x₁)² + (y₂-y₁)²). It treats the horizontal and vertical differences as the two legs of a right triangle.
Does the order of the two points matter?+
No, since both differences are squared before being added, subtracting point 1 from point 2 or point 2 from point 1 gives the same final distance.
What if the two points have the same x-coordinate or the same y-coordinate?+
The formula still works — it just simplifies to the absolute difference in the remaining coordinate, since one of the squared terms becomes zero.
Can I use this for real-world distances like GPS coordinates?+
Only as a flat-plane approximation over short distances. Latitude and longitude are angular coordinates on a sphere, so for accurate real-world distances over any meaningful range you need a great-circle formula instead.