Gradian to Degree (grad to deg) Converter
1 gradian equals 0.9 degrees (°) — multiply the number of gradians by 0.9 to convert. A gradian divides a right angle into 100 parts and a full circle into 400, while degrees use 90 and 360, giving the clean 0.9 factor.
The formula
To convert gradians to degrees, multiply by 0.9:
degrees = gradians × 0.9
For example, 50 grad × 0.9 = 45 degrees. To reverse it, divide degrees by 0.9 (or multiply by 1.111111).
Conversion table
| Gradians (grad) | Degrees (°) |
|---|---|
| 1 | 0.9 |
| 2 | 1.8 |
| 5 | 4.5 |
| 10 | 9 |
| 25 | 22.5 |
| 50 | 45 |
| 100 | 90 |
| 200 | 180 |
| 400 | 360 |
How to convert online
Skip the arithmetic with a live tool:
- Enter your gradian value in the first box.
- Read the degree result instantly in the second box.
- Or type a degree value to convert back to gradians — it works both ways.
Use the Gradian to Degree Converter — free and instant in your browser.
Where this conversion is used
Gradians (also called gons) are standard in European surveying and some engineering and artillery contexts, while most maths, CAD and everyday work use degrees. Converting between them keeps survey bearings, slopes and rotation angles consistent across tools and disciplines.
FAQ
How many degrees are in a gradian?
One gradian equals 0.9 degrees. Ten gradians is 9 degrees and 100 gradians (a right angle) is 90 degrees.
What is the formula to convert gradians to degrees?
Multiply gradians by 0.9: degrees = grad × 0.9.
How do I convert degrees back to gradians?
Divide degrees by 0.9, or multiply by 1.111111. So 45° = 50 gradians.
Is the conversion exact?
Yes. Since a full circle is exactly 400 gradians and 360 degrees, the factor of 0.9 is exact.
Related converters
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