How do you convert gradians to degrees?
Multiply gradians by 9/10 to get degrees (since 100 grad = 90° and 400 grad = 360°).
Detailed answer
The gradian splits a right angle into 100 parts, so 400 gradians equal a full turn. One gradian equals (360/400)° = 0.9°.
Relationship context
Gradians appear in some European surveying tools and calculators alongside degrees.
Quick conversion table
| Gradian (grad) | Degree (deg) |
|---|---|
| 0.1 | 0.09 |
| 1 | 0.9 |
| 2 | 1.8 |
| 3 | 2.7 |
| 4 | 3.6 |
| 5 | 4.5 |
| 6 | 5.4 |
| 7 | 6.3 |
| 8 | 7.2 |
| 9 | 8.1 |
| Gradian (grad) | Degree (deg) |
|---|---|
| 10 | 9 |
| 20 | 18 |
| 30 | 27 |
| 40 | 36 |
| 50 | 45 |
| 60 | 54 |
| 70 | 63 |
| 80 | 72 |
| 90 | 81 |
| 100 | 90 |
More Gradian converters
Dedicated pages from Gradian to every other hub angle unit (turn, deg, arcmin, arcsec, grad, rad, mrad, mil).
- grad to turn (Gradian to Revolution)
- grad to quadrant (Gradian to Quadrant)
- grad to sextant (Gradian to Sextant)
- grad to deg (Gradian to Degree)
- grad to arcmin (Gradian to Arc Minute)
- grad to moa (Gradian to Minute of Angle (MOA))
- grad to arcsec (Gradian to Arc Second)
- grad to rad (Gradian to Radian)
- grad to mrad (Gradian to Milliradian)
- grad to urad (Gradian to Microradian)
- grad to mil (Gradian to Mil)