Gradians to degrees
1 gradian in degrees
1 grad = 0.9 °
° = grad × 9/10
To convert gradians to degrees, multiply by 0.9. The table below gives the values people look up most often, and the converter works for any number.
Gradians to degrees table
| Gradians | Degrees |
|---|---|
| 1 grad | 0.9 |
| 2 grad | 1.8 |
| 3 grad | 2.7 |
| 4 grad | 3.6 |
| 5 grad | 4.5 |
| 10 grad | 9 |
| 15 grad | 13.5 |
| 20 grad | 18 |
| 25 grad | 22.5 |
| 30 grad | 27 |
| 40 grad | 36 |
| 50 grad | 45 |
| 75 grad | 67.5 |
| 100 grad | 90 |
| 250 grad | 225 |
| 500 grad | 450 |
| 1,000 grad | 900 |
How the conversion works
The relationship is ° = grad × 9/10. Both units measure angle, so the conversion is a fixed factor that never changes.
Common questions
- How many degrees are in one gradian?
- One gradian equals 0.9 degrees. ° = grad × 9/10.
- How do you convert gradians to degrees?
- Use ° = grad × 9/10. So 10 grad is 9 °.
- How many gradians are in one degree?
- One degree equals 1.111111 gradians, which is the reverse of the conversion above.
Related pages
- Degrees to Gradians The reverse conversion
- Gradians to Radians
Sources
- Guide for the Use of the International System of Units (SP 811) — NIST (Public domain (US Government))
- The International System of Units (SI Brochure) — Bureau International des Poids et Mesures
- Calculated on this page — At One Place