Calculated Distance Using Haversine Formula

What is the Haversine Formula?

The Haversine formula is used to calculate the great-circle distance between two points on the surface of a sphere. Because the Earth is nearly spherical, this formula is commonly applied to determine the distance between two geographic locations using latitude and longitude.

Unlike a flat-Earth (Cartesian) calculation, the Haversine formula accounts for the Earth's curvature, providing an accurate distance for long journeys—essential for applications like aviation, GPS navigation, and geospatial analysis.

First Point

Map 1

Second Point

Map 2

Straight line between the two points

For a UI-based Earth curvature distance calculation, click the link below!

Distance Calculator Based on the Curvature of the Earth with User Interface

from js import document, alert from pyodide import create_proxy from math import radians, cos, sin, asin, sqrt def button_click(event): # Retrieve input values FirstLat = document.getElementById("FirstLat").value FirstLong = document.getElementById("FirstLong").value SecLat = document.getElementById("SecLat").value SecLong = document.getElementById("SecLong").value # Validate inputs try: first_lat = float(FirstLat) first_long = float(FirstLong) sec_lat = float(SecLat) sec_long = float(SecLong) except ValueError: alert("Invalid input! Please enter valid numeric coordinates.") return # Convert degrees to radians first_lat_rad = radians(first_lat) sec_lat_rad = radians(sec_lat) first_long_rad = radians(first_long) sec_long_rad = radians(sec_long) # Haversine formula calculation dlat = sec_lat_rad - first_lat_rad dlon = sec_long_rad - first_long_rad a = sin(dlat / 2)**2 + cos(first_lat_rad) * cos(sec_lat_rad) * sin(dlon / 2)**2 c = 2 * asin(sqrt(a)) r = 6371 # Earth's radius in kilometers calculated_distance = c * r # Display the result document.getElementById("Distance").value = f"Calculated Distance: {calculated_distance:.2f} km" def setup(): click_proxy = create_proxy(button_click) document.getElementById("button").addEventListener("click", click_proxy) setup()