Convert gradians to degrees
Gradians to degrees. Enter a value to convert, or use the gradians to degrees chart further down the page.
1 gradian equals 0.9 degrees. Going the other way, 1 degree = 1.111111111 gradians.
How to convert gradians to degrees
To convert gradians to degrees, multiply the gradian value by 0.9. You can also divide by 1.111111111 to get the same answer.
° = grad × 0.9
Worked example
Convert 45 grad to degrees:
45 grad = 40.5 °
gradians to degrees conversion chart
Use this gradians to degrees table for quick reference without typing anything.
| gradians (grad) | 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 ° |
| 180 grad | 162 ° |
| 270 grad | 243 ° |
| 360 grad | 324 ° |
What is a gradian?
A gradian divides a right angle into 100 parts, so a full turn is 400 gradians. It is used in surveying.
What is a degree?
A degree is 1/360 of a full turn. The division into 360 comes from ancient Babylonian astronomy.
Frequently asked questions
How many degrees are in a gradian?
1 gradians equals 0.9 degrees. Going the other way, 1 degrees is 1.111111111 gradians.
How do you convert gradians to degrees?
To convert gradians to degrees, multiply the gradian value by 0.9. You can also divide by 1.111111111 to get the same answer.
What is 10 gradians in degrees?
10 gradians equals 9 degrees. The conversion chart on this page lists the other values people look up most often.
Related angle conversions
Convert gradians to other units
- degrees to gradians
- gradians to radians
- gradians to arcminutes
- gradians to arcseconds
- gradians to revolutions
Convert other units to degrees
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