Formula: (value / 400) * 2 * Math.PI

About Diversify India’s Gradians to Radians Converter

Input the value of gradians, and our free gradians to radians converter tool will convert your value to radians and vice versa.

What are Gradians and Radians?

  1. Gradians:
    • Gradians are a unit of angular measurement.
    • There are 400 gradians in a full circle.
    • Gradians are synonymous with grad, or gon.
  2. Radians:
    • Radians are a unit of angular measurement.
    • One radian is the angle subtended at the center of a circle by an arc whose length is equal to the circle’s radius.
    • There are 2π radians in a full circle.

How to Convert Gradians to Radians

  1. Understand the relationship between units:
    • 1 circle = 400 gradians
    • 1 circle = 2π radians
  2. Combine these relationships:
    • 1 radian = 400 ÷ 2π gradians
    • 1 radian ≈ 63.66 gradians
  3. Convert gradians to radians:
    • To convert gradians to radians, divide the number of gradians by 63.66.
    • radians = gradians ÷ 63.66

Example

  • Convert 100 gradians to radians:
    • radians = 100 gradians ÷ 63.66
    • radians ≈ 1.5708

That’s it! You now know how to convert gradians to radians.

Unit Conversion Table

GradianRadian
10.01570796327
20.03141592654
30.0471238898
40.06283185307
50.07853981634
60.09424777961
70.1099557429
80.1256637061
90.1413716694
100.1570796327
Unit Conversion Table

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