Distance Between Points Calculator

Calculate the distance between two points in 2D or 3D space.

Distance

5.0000

Midpoint

(2.50, 4.00)

Calculation

dx3.00
dy4.00
Distance5.0000

Use the Distance Between Points Calculator above to calculate your results. Enter your values and see instant results — all calculations run in your browser.

Disclaimer: This calculator is for informational purposes only and does not constitute tax, financial, or legal advice. Results are estimates based on the information you provide and current rates. Always consult a qualified tax professional or financial advisor for advice specific to your situation.

How It Works

Our Distance Between Points Calculator precisely determines the straight-line distance separating any two points, whether in a 2D plane or 3D space. This tool is invaluable for fields like urban planning (e.g., calculating the distance between the 2026 Olympic Village and the main stadium), navigation, and engineering, providing quick and accurate measurements.

The calculator utilizes the Pythagorean theorem extended for higher dimensions. For 2D points (x1, y1) and (x2, y2), the distance D is given by D = sqrt((x2 - x1)^2 + (y2 - y1)^2). In 3D space, for points (x1, y1, z1) and (x2, y2, z2), the formula expands to D = sqrt((x2 - x1)^2 + (y2 - y1)^2 + (z2 - z1)^2).

Ensure consistent units for all coordinates; mixing meters and kilometers will lead to incorrect results. A common mistake is forgetting to square the differences before summing them, or failing to take the final square root. Always double-check your input coordinates to avoid simple data entry errors.

Example: Calculating the distance between two drone delivery hubs in Neo-Austin 2026.

  1. 1 Input the coordinates for the first drone hub at (15 km, 20 km, 5 km altitude) and the second hub at (40 km, 5 km, 10 km altitude).
  2. 2 The calculator applies the 3D distance formula: sqrt((40-15)^2 + (5-20)^2 + (10-5)^2) = sqrt(25^2 + (-15)^2 + 5^2) = sqrt(625 + 225 + 25) = sqrt(875).
  3. 3 The calculated distance between the two drone delivery hubs is approximately 29.58 km.
  4. 4 This distance is crucial for optimizing drone flight paths, estimating fuel consumption for 2026 autonomous logistics, and ensuring timely deliveries across the city's vertical infrastructure.

Source: Khan Academy · Last updated: April 2026

Frequently Asked Questions

What is the formula for distance between two points?
In 2D, the distance formula is the square root of (x2-x1)^2 + (y2-y1)^2, which is derived from the Pythagorean theorem. In 3D, add (z2-z1)^2 under the square root.
How is Manhattan distance different from Euclidean distance?
Euclidean distance is the straight-line distance between two points (the hypotenuse). Manhattan distance is the sum of the absolute differences of coordinates, like walking along a grid of city blocks. Manhattan distance is always greater than or equal to Euclidean distance.
Can I use the distance formula for GPS coordinates?
Not directly. GPS coordinates are on a sphere, so you need the Haversine formula for accurate distances. The simple distance formula works only for small distances (a few miles) where the curvature of the Earth is negligible.

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