Radian to Gradian (rad to gon)
Result
63.66197724 Gradian
Formula
gon = rad × 63.66197724
1 rad = 63.66197724 gon, and 1 gon = 0.01570796327 rad.
A full turn is 360°, 2π radians or 400 gradians, so 1 rad = 180/π ° (about 57.29578°) and 1 gradian = 0.9°.
Worked examples
- 1 rad × 63.66197724 = 63.661977 gon
- 10 rad × 63.66197724 = 636.61977 gon
- 100 rad × 63.66197724 = 6,366.1977 gon
Common mistakes
- Calculators and spreadsheet trigonometry functions usually expect radians: sin(30) in radian mode is −0.988, not 0.5.
- Compass bearings run clockwise from north; mathematical angles run anticlockwise from the positive x-axis.
Radian to Gradian table
| Radian (rad) | Gradian (gon) |
|---|---|
| 1 | 63.661977 |
| 2 | 127.32395 |
| 5 | 318.30989 |
| 10 | 636.61977 |
| 20 | 1,273.2395 |
| 50 | 3,183.0989 |
| 100 | 6,366.1977 |
| 1,000 | 63,661.977 |
The units
- Radian (rad)
- 1 Radian = 57.29577951 Degree.
- Gradian (gon)
- 1 Gradian = 0.9 Degree.
Sources for these factors
- The International System of Units (SI Brochure), 9th edition — BIPM
- Guide for the Use of the International System of Units (SP 811), Appendix B: conversion factors — NIST
Last reviewed against these sources. An automated check recomputes every factor from its definition on each build. How we check accuracy