Use this gradians to radians converter to change a gradian measurement into its radian equivalent. Enter a number in the calculator above and the result updates instantly.
Angle conversions are useful for geometry, trigonometry, navigation, surveying, machining, astronomy, and engineering drawings.
What is a gradian?
A gradian is an angle unit where a right angle equals 100 gradians. It is used in some surveying and engineering contexts.
What is a radian?
A radian is the SI angle unit used in mathematics, trigonometry, physics, and engineering calculations.
Gradians to Radians Converter formula
To convert gradians to radians, use the formula below.
1 rad = 63.6619772368 grad. This relationship is the conversion factor used by the calculator.
How to convert gradians to radians
Start with the gradian value, apply the formula, and round the result only after the calculation is complete.
Example: 10 grad = 0.1570796327 rad.
- 1 grad = 0.0157079633 rad
- 10 grad = 0.1570796327 rad
- 100 grad = 1.5707963268 rad
Manual conversion steps
- Write down the value in gradians.
- Use the conversion formula: radians = gradians / 63.6619772368.
- Calculate the result in radians.
- Round the answer to the number of decimal places you need.
For quick checking, the converter above performs the same calculation automatically.
Common gradians to radians use cases
This conversion is useful in practical situations where measurements need to move between different unit systems or audiences.
- Convert gradians to radians when you need equivalent measurements in another unit.
Common mistakes when converting gradians to radians
These are the most common issues to watch for when doing this conversion by hand.
- Do not mix up the direction of the conversion. gradians to radians is not the same as radians to gradians.
- Avoid rounding too early. Keep the full result during the calculation, then round the final answer.
Gradians to Radians conversion table
| Gradian | Radian |
|---|---|
| 1 grad | 0.0157079633 rad |
| 5 grad | 0.0785398163 rad |
| 10 grad | 0.1570796327 rad |
| 25 grad | 0.3926990817 rad |
| 50 grad | 0.7853981634 rad |
| 100 grad | 1.5707963268 rad |
How to convert radians to gradians
To reverse the conversion, switch the two units in the calculator or open the reverse conversion page: radians to gradians.
Reversing the units is useful when you already have a value in radians and need the equivalent value in gradians.
How to use this gradians to radians converter
- Enter the number you want to convert in the value field.
- Confirm that the from unit is Gradian and the to unit is Radian.
- Read the converted result in the result box.
- Use the copy button if you want to paste the answer elsewhere.
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FAQ
What is the formula for gradians to radians?
The formula is: radians = gradians / 63.6619772368.
How do I convert gradians to radians by hand?
Write down the value in gradians, apply the formula, and round the final result in radians.
How accurate is this converter?
The converter uses standard conversion factors and shows rounded results for readability.
Can I reverse the conversion?
Yes. Use the swap button in the converter or open the related reverse conversion page.
Why do results sometimes have many decimal places?
Some unit conversions do not produce short decimal values. Keep more decimal places for technical work, and round the answer for everyday use.