Geometry · free · no sign-up
Distance Formula calculator
Apply the distance formula to two points and see the distance, its square and its exact root form.
Distance Formula calculator
Enter your values below and press Calculate to see your result instantly.
Origin Node (X₁, Y₁)
(
,
)
Terminal Node (X₂, Y₂)
(
,
)
The Euclidean Distance (d)
10.00
SQUARED DISTANCE (d²)
100
EXACT ROOT VALUE
√100
The shortest geometric path between the two nodes spans exactly 10 units.
About the Distance Formula calculator
Apply the distance formula to two points and see the distance, its square and its exact root form.
How to use the Distance Formula calculator
- Enter the Origin Node (X₁, Y₁) and the Terminal Node (X₂, Y₂).
- Press Calculate Displacement.
Formula and method
d = √((x₂ − x₁)² + (y₂ − y₁)²)
Worked example
From (2, 3) to (8, 11): the differences are 6 and 8, so d = √100 = 10.
Tips
- The squared distance is useful when you only need to compare distances.
Frequently asked questions
Can I use it in three dimensions?
This tool works in two dimensions. In 3D, add the squared difference of the z-values inside the root.