Distance Calculator
Quickly find your Distance result with our free Distance Calculator. Simple, fast, and accurate.
Two points
Distance
What is a Distance Calculator?
A distance calculator computes the straight-line distance between two points in a coordinate plane. It uses the distance formula derived from the Pythagorean theorem to return the exact length between coordinates.
How to calculate distance manually (the formula)
The distance formula is d = √((x2 − x1)2 + (y2 − y1)2). Find the horizontal and vertical differences, square them, add them, and take the square root.
Example calculation
Find the distance between (0, 0) and (3, 4). d = √((3 − 0)2 + (4 − 0)2) = √(9 + 16) = √25 = 5. This is the classic 3-4-5 right triangle.
Common mistakes
- Subtracting in the wrong order — The order of subtraction does not matter because you square the result, but keep x and y consistent.
- Forgetting to square the differences — Square each difference individually, then add. Do not add first and then square.
- Forgetting the square root — The final step must take the square root to get the distance, not the squared distance.
Frequently asked questions
What is the distance formula?
The distance formula d = \u221a((x\u2082 - x\u2081)\u00b2 + (y\u2082 - y\u2081)\u00b2) finds the straight-line distance between two points in a coordinate plane.
How do you find distance between two points?
Subtract the x-coordinates, subtract the y-coordinates, square each difference, add them, and take the square root.
Is the distance formula related to the Pythagorean theorem?
Yes. The distance formula is derived from the Pythagorean theorem. The differences (\u0394x, \u0394y) form the legs of a right triangle.
Can distance be negative?
No. Distance is always a positive value or zero. The square root in the formula ensures a non-negative result.
What is the difference between distance and displacement?
Distance is the total length traveled (scalar). Displacement is the shortest straight-line path from start to end (vector).
How do you find distance in 3D?
Add the z-dimension: d = \u221a((x\u2082 - x\u2081)\u00b2 + (y\u2082 - y\u2081)\u00b2 + (z\u2082 - z\u2081)\u00b2).