Convert Degrees to Gradians
One degree equals 1.111111 gradians. Type any value to convert degrees to gradians instantly — with a full reference table below.
Convert Degrees to Gradians
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How to convert Degrees to Gradians
To convert degrees to gradians, multiply by 1.111111. One degree equals 1.111111 grad, and one gradian equals 0.9 °.
- Take the value in degrees — for example 7.5 °.
- Multiply by 1.111111 (the number of gradians in one degree).
- 7.5 × 1.111111 = 8.333333 grad.
Quick mental estimate: Divide the number of degrees by 0.9 — that is exact.
Degrees to Gradians conversion table
| 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 |
| 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 ° |
About converting Degrees to Gradians
Degrees (°) and Gradians (grad) are both units of angle. The exact factor is 1 ° = 1.111111 grad, so multiply by 1.111111 to go from degrees to gradians (or divide to go back).
The conversion runs entirely in your browser. Need the reverse? Use the Gradians to Degrees converter, or the full unit converter for every unit at once.
Real-world angle in degrees and gradians
| Example | Degrees | Gradians |
|---|---|---|
| A 1:12 wheelchair ramp (ADA) | 4.763641 ° | 5.292934 grad |
| A 4/12 roof pitch | 18.43495 ° | 20.48328 grad |
| Earth's axial tilt | ≈ 23.44 ° | ≈ 26.04444 grad |
| A right angle | 90 ° | 100 grad |
| A straight angle | 180 ° | 200 grad |
| A full turn | 360 ° | 400 grad |
“≈” marks typical values; the rest are defined or measured figures.
The units
1/360 of a full turn.
Used for: Geometry, navigation and construction.
1/400 of a full turn, so a right angle is 100 grad.
Used for: Surveying in some European countries.
A full turn is 360°, 2π radians or 400 gradians; the radian factor is irrational, so it is shown rounded.