Gradians to Radians Converter

Conversion Updated 15 Jun 2026

This Gradians to Radians Converter lets you convert Gradians (gon) into Radians (rad) in one step. Enter a value in gradians and you'll instantly see the equivalent in radians, worked out with the formula rad = gon x 0.015707963267948967. It's handy whenever you need a quick, precise gradians-to-radians conversion without doing the arithmetic by hand.

  • Conversion constants are fixed and do not vary by region.

Formula

rad = gon x 0.015707963267948967
  • To convert gradians to radians, multiply your value by the fixed factor 0.015707963268 (so 1 gon = 0.015707963268 rad).
  • The factor comes from the internationally agreed definitions of each unit, so it never changes.
  • Displayed results are rounded for readability, but the full-precision value is used in the calculation.

Example

Inputs
  • Gradians (gon): 3.141592653589793

Start with 3.14159265359 gon. Multiply by 0.015707963268 to get 0.049348022005 rad.

Frequently asked questions

How do I convert gradians to radians?
Multiply the number of gradians by 0.015707963268. For example, 3.14159265359 gon equals 0.049348022005 rad.
Are these conversion factors accurate?
Yes. The calculator uses internationally accepted definitions for each unit, so the conversion factor is exact.
Why can tiny differences appear after conversion?
Very small differences are only a display effect from rounding the output. The underlying calculation keeps full precision.