Gradian to Degree (gon to °)
Result
0.9 Degree
Formula
° = gon × 0.9
1 gon = 0.9 °, and 1 ° = 1.111111111 gon.
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 gon × 0.9 = 0.9 °
- 10 gon × 0.9 = 9 °
- 100 gon × 0.9 = 90 °
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.
Gradian to Degree table
| Gradian (gon) | Degree (°) |
|---|---|
| 1 | 0.9 |
| 2 | 1.8 |
| 5 | 4.5 |
| 10 | 9 |
| 20 | 18 |
| 50 | 45 |
| 100 | 90 |
| 1,000 | 900 |
The units
- Gradian (gon)
- 1 Gradian = 0.9 Degree.
- Degree (°)
- A unit of angle.
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