Degree to Gradian (° to gon)
Result
1.111111111 Gradian
Formula
gon = ° × 1.111111111
1 ° = 1.111111111 gon, and 1 gon = 0.9 °.
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 ° × 1.111111111 = 1.1111111 gon
- 10 ° × 1.111111111 = 11.111111 gon
- 100 ° × 1.111111111 = 111.11111 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.
Degree to Gradian table
| Degree (°) | Gradian (gon) |
|---|---|
| 1 | 1.1111111 |
| 2 | 2.2222222 |
| 5 | 5.5555556 |
| 10 | 11.111111 |
| 20 | 22.222222 |
| 50 | 55.555556 |
| 100 | 111.11111 |
| 1,000 | 1,111.1111 |
The units
- Degree (°)
- A unit of angle.
- 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