Kilometers to Radians Calculator

Convert kilometers to radians using the Earth's radius. This calculator helps in understanding the relationship between linear distance and angular measurement on the Earth's surface.

Input Parameters

Calculation Results

Calculation Result

Radians: 0.0000

Where:
Radians = Kilometers / Earth's Radius

Kilometers to Radians Calculator Usage Guide

Learn how to use the Kilometers to Radians Calculator calculator and its working principles

How to Use the Calculator

  1. Enter the distance in kilometers in the "Kilometers" field.
  2. You can optionally change the Earth's radius from the default value of 6371.0 km.
  3. Click the "Calculate" button to compute the corresponding angle in radians.
  4. The result will be displayed in the "Radians" field.

Formula Explanation

The calculator uses the following formula to convert kilometers to radians:

Radians = Kilometers / Earth's Radius

This formula assumes that the Earth is a perfect sphere with a radius of approximately 6371 kilometers. The result is an angle in radians, which is a unit of angular measurement used in mathematics and physics.

Example

If you enter a distance of 12742 kilometers (which is approximately the Earth's circumference at the equator), the calculator will display approximately 2 radians, since 12742 km / 6371 km = 2 radians.