Convert Gradians to Degrees
One gradian equals 0.9 degrees. Type any value to convert gradians to degrees instantly — with a full reference table below.
Convert Gradians to Degrees
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How to convert Gradians to Degrees
To convert gradians to degrees, multiply by 0.9. One gradian equals 0.9 °, and one degree equals 1.111111 grad.
- Take the value in gradians — for example 7.5 grad.
- Multiply by 0.9 (the number of degrees in one gradian).
- 7.5 × 0.9 = 6.75 °.
Quick mental estimate: Multiply the number of gradians by 0.9 — that is exact.
Gradians to Degrees conversion table
| Gradians | Degrees |
|---|---|
| 1 grad | 0.9 ° |
| 5 grad | 4.5 ° |
| 10 grad | 9 ° |
| 15 grad | 13.5 ° |
| 30 grad | 27 ° |
| 45 grad | 40.5 ° |
| 60 grad | 54 ° |
| 90 grad | 81 ° |
| 120 grad | 108 ° |
| 180 grad | 162 ° |
| 270 grad | 243 ° |
| 360 grad | 324 ° |
| Degrees | Gradians |
|---|---|
| 1 ° | 1.111111 grad |
| 5 ° | 5.555556 grad |
| 10 ° | 11.11111 grad |
| 15 ° | 16.66667 grad |
| 30 ° | 33.33333 grad |
| 45 ° | 50 grad |
| 60 ° | 66.66667 grad |
| 90 ° | 100 grad |
| 120 ° | 133.3333 grad |
| 180 ° | 200 grad |
| 270 ° | 300 grad |
| 360 ° | 400 grad |
About converting Gradians to Degrees
Gradians (grad) and Degrees (°) are both units of angle. The exact factor is 1 grad = 0.9 °, so multiply by 0.9 to go from gradians to degrees (or divide to go back).
The conversion runs entirely in your browser. Need the reverse? Use the Degrees to Gradians converter, or the full unit converter for every unit at once.
Real-world angle in gradians and degrees
| Example | Gradians | Degrees |
|---|---|---|
| A 1:12 wheelchair ramp (ADA) | 5.292934 grad | 4.763641 ° |
| A 4/12 roof pitch | 20.48328 grad | 18.43495 ° |
| Earth's axial tilt | ≈ 26.04444 grad | ≈ 23.44 ° |
| A right angle | 100 grad | 90 ° |
| A straight angle | 200 grad | 180 ° |
| A full turn | 400 grad | 360 ° |
“≈” marks typical values; the rest are defined or measured figures.
The units
1/400 of a full turn, so a right angle is 100 grad.
Used for: Surveying in some European countries.
1/360 of a full turn.
Used for: Geometry, navigation and construction.
A full turn is 360°, 2π radians or 400 gradians; the radian factor is irrational, so it is shown rounded.