gradians to radians Converter

1 grad = 0.01571 rad. Enter a value. The result updates immediately.

Convert

3.1416 rad1 grad = 0.01571 rad
Quick answer 1 grad = 0.01571 rad gradians to radians uses this formula: rad = grad x 0.015707963268

Accuracy and rounding

Best use

Radians are common in math and code; degrees are common in maps, tools, and everyday angle measurements.

Accuracy

Degrees, radians, gradians, and turns are fixed ways to express the same rotation.

Rounding

For display, one or two decimals is usually enough. For code, CAD, or trigonometry, keep more precision.

How to convert gradians to radians

  1. Enter the value in gradians.
  2. Select gradians as the source unit.
  3. Select radians as the target unit.
  4. Read or copy the result.

gradians to radians chart

gradiansradians
1 grad0.01571 rad
5 grad0.07854 rad
10 grad0.15708 rad
50 grad0.7854 rad
100 grad1.5708 rad
200 grad3.1416 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.

Reference definition · Conversion methodology

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.

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