Angle
gradians to radians Converter
1 grad = 0.01571 rad. Enter any value and the result updates instantly.
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Accuracy and rounding
Radians are common in math and code; degrees are common in maps, tools, and everyday angle measurements.
Degrees, radians, gradians, and turns are fixed ways to express the same rotation.
For display, one or two decimals is usually enough. For code, CAD, or trigonometry, keep more precision.
How to convert gradians to radians
- Type the gradians value in the calculator.
- Keep gradians selected as the from unit and radians selected as the to unit.
- Use the instant result, or copy it with the copy button.
gradians to radians chart
| gradians | radians |
|---|---|
| 1 grad | 0.01571 rad |
| 5 grad | 0.07854 rad |
| 10 grad | 0.15708 rad |
| 50 grad | 0.7854 rad |
| 100 grad | 1.5708 rad |
| 200 grad | 3.1416 rad |
Formula
rad = grad x 0.015707963268
Example: 1 grad = 0.01571 rad.
Source
Angle relationships derived from a full turn equaling 2 pi radians.
Common questions
How do I convert gradians to radians?
Enter the gradians value in the converter, or multiply by the factor shown in the formula. 1 grad = 0.01571 rad.
What should I watch out for?
Radians, degrees, gradians, and turns all measure the same rotation with different reference scales.
Where does this angle conversion come from?
Angle relationships derived from a full turn equaling 2 pi radians. ConverterBase uses stable definitions and fixed conversion factors, not live or rounded market data.