Degrees to Gradians (deg to grad) Converter
1 degree equals 1.111111 gradians — multiply the number of degrees by 1.111111 to convert. A full circle is 360 degrees but 400 gradians, so one degree is 400 ÷ 360 = 1.111111 gradians. The gradian (also called the gon) divides a right angle into 100 units.
The formula
To convert degrees to gradians, multiply by 1.111111 (that is, by 400/360 = 10/9):
gradians = degrees × 1.111111
Example: 90 × 1.111111 = 100 gradiansTo reverse it, divide gradians by 1.111111 (or multiply by 0.9) to get degrees.
Conversion table
| Degrees | Gradians |
|---|---|
| 1 | 1.111111 |
| 2 | 2.222222 |
| 5 | 5.555555 |
| 10 | 11.11111 |
| 30 | 33.33333 |
| 45 | 50 |
| 60 | 66.66666 |
| 90 | 100 |
| 180 | 200 |
| 270 | 300 |
| 360 | 400 |
How to convert online
- Type the number of degrees into the first box.
- Read the gradians value instantly in the second box.
- Or enter a gradian value to convert back to degrees — it works both ways.
Use the Degree to Gradian Converter — free and instant in your browser.
Where this conversion is used
Gradians are common in surveying, civil engineering and some European technical fields because a right angle is an even 100 grad, which simplifies slope and grade calculations. Converting degrees to gradians lets you move between geometry taught in degrees and instruments or software configured in gradians.
FAQ
How many gradians are in a degree?
One degree equals 1.111111 gradians. Multiply degrees by 1.111111 — for example, 10 degrees = 11.11111 gradians.
What is the formula to convert degrees to gradians?
gradians = degrees × 1.111111, which comes from 400 gradians ÷ 360 degrees.
How do I convert gradians back to degrees?
Multiply gradians by 0.9. For example, 100 grad × 0.9 = 90 degrees.
Is a right angle really 100 gradians?
Yes. 90 degrees equals exactly 100 gradians, which is the defining feature of the gradian system.
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