degrees to gradians Converter
1 degree is equal to 1.11111 gradians, or 60 arcmin.
Enter a value in the converter to get the result. This page explains the formula, works through examples and lists common values in a conversion table.
How to convert degrees to gradians
Divide the value in degrees by 0.9 to get gradians.
grad = ÷ 0.9- 1Start with the value in degrees: 1 deg.
- 2Apply the formula: ÷ 0.9 = 1.11111111111.
- 3Round to the precision you need: 1.11111 grad.
For a quick estimate without a calculator, multiply by 1.1. For 1 deg that gives about 1.1 grad.
Examples
degrees to gradians conversion table
| degrees (deg) | gradians (grad) | arcminutes (arcmin) |
|---|---|---|
| 1 deg | 1.11111 grad | 60 arcmin |
| 5 deg | 5.55556 grad | 300 arcmin |
| 10 deg | 11.1111 grad | 600 arcmin |
| 20 deg | 22.2222 grad | 1,200 arcmin |
| 25 deg | 27.7778 grad | 1,500 arcmin |
| 50 deg | 55.5556 grad | 3,000 arcmin |
| 75 deg | 83.3333 grad | 4,500 arcmin |
| 100 deg | 111.111 grad | 6,000 arcmin |
| 150 deg | 166.667 grad | 9,000 arcmin |
| 200 deg | 222.222 grad | 12,000 arcmin |
| 500 deg | 555.556 grad | 30,000 arcmin |
| 1,000 deg | 1,111.11 grad | 60,000 arcmin |
1 degree in other units
The same value in every other unit of this category. Each row links to the full conversion.
| Unit | Formula | 1 deg equals |
|---|---|---|
| degrees to radians | rad = ÷ 57.29578 | 0.0174533 rad |
| degrees to gradians | grad = ÷ 0.9 | 1.11111 grad |
| degrees to arcminutes | arcmin = × 60 | 60 arcmin |
| degrees to arcseconds | arcsec = × 3,600 | 3,600 arcsec |
gradians to degrees
The reverse conversion uses the inverse formula. For example, 1 grad is 0.9 deg. Use the gradians to degrees converter for other values.
deg = × 0.9About the units
degree (deg)
A unit of angle. 1 deg = 1.11111 grad.
gradian (grad)
A unit of angle. 1 grad = 0.9 deg.
Accuracy and rounding
The calculation uses exact decimal arithmetic, so the conversion itself adds no error. Results are rounded to six significant figures; the formula steps show more digits.
More degrees to gradians conversions
FAQ
How many gradians are in one degree?
One degree is equal to 1.11111 gradians.
How do I convert gradians back to degrees?
Use the formula deg = × 0.9. See the gradians to degrees converter.