Gradians to Radians Converter
Enter the angle in gradians below to convert it to radians.
Convert Gradians to Radians
Enter a value in gradians (grad) to convert to radians (rad).
Gradian to Radian Conversion Table
Table showing various gradian measurements converted to radians. Click any preset value or arrow to load it into the converter.
| Gradians (grad) | Radians (rad) |
|---|---|
| 1 grad | 0.015708 rad |
| 2 grad | 0.0314159 rad |
| 2.5 grad | 0.0392699 rad |
| 5 grad | 0.0785398 rad |
| 10 grad | 0.1570796 rad |
| 15 grad | 0.2356194 rad |
| 20 grad | 0.3141593 rad |
| 25 grad | 0.3926991 rad |
| 30 grad | 0.4712389 rad |
| 50 grad | 0.7853982 rad |
How to Convert Gradians to Radians
To convert gradians to radians, multiply the angle by the following conversion ratio: 0.015708 radians/gradian.
Since one gradian is equal to 0.015708 radians, you can use this simple formula to convert:
The angle in radians is equal to the angle in gradians multiplied by 0.015708.
For example, here's how to convert 5 gradians to radians using the formula above.
How Many Radians Are in a Gradian?
There are 0.015708 radians in a gradian, which is why we use this value in the formula above.
Our gradian to radian calculator automatically converts your angle measurements with full decimal and scientific precision across US customary, imperial, and SI metric standards.
Gradians and radians are both units used to measure angle. Keep reading to learn more about each unit.
What Is a Gradian?
A gradian is a unit of angle equal to 0.9 degrees (°), the base unit for angle. 1/400 of a full circle (0.9°). [1]
The gradian is classified as a metric and SI-compatible unit of angle. Gradians can be abbreviated as grad; for example, 1 gradian can be written as 1 grad.
When working with gradians (grad) in formulas or technical specifications, always verify whether your target system uses SI metric, US customary, or British imperial standards.
In practice, gradians (grad) are widely used across standard angle applications within SI metric workflows, engineering documentation, and technical data sheets.
What Is a Radian?
A radian is a unit of angle equal to 57.2957795 degrees (°), the base unit for angle. SI angle unit (1 rad ≈ 57.29578°). [2]
The radian is classified as an International System of Units (SI) unit of angle. Radians can be abbreviated as rad; for example, 1 radian can be written as 1 rad.
When working with radians (rad) in formulas or technical specifications, always verify whether your target system uses SI metric, US customary, or British imperial standards.
In practice, radians (rad) are widely used across standard angle applications within International System of Units (SI) workflows, engineering documentation, and technical data sheets.
When converting angle between gradians (grad) and radians (rad), keep full floating-point precision (1 grad = 0.015708 rad; 1 rad = 63.6619772 grad) during intermediate calculations and round only the final radian figure to match your instrument tolerance.
More Gradian & Radian Conversions
Need to calculate in the opposite direction? Use our radians to gradians calculator to switch your starting unit immediately. You can also explore related tools such as converting radians to gradians, converting degrees to radians, or converting radians to degrees.
Frequently Asked Questions
References
- [1]NIST CUU StandardNIST CUU (Non-SI Units Accepted for Use (deg, arcmin, arcsec))·Angle Metrology Standard — Gradians (grad) to Radians (rad)
- [2]NIST SI SpecificationNIST SI (SI Coherent Unit: Radian (rad))·Unit Specifications: Gradian (Gon) (grad) & Radian (rad)
- [3]NIST SP 811 ReferenceNIST SP 811 (NIST SP 811 App. B.9 (Plane Angle))·Conversion Factors & Mathematical Basis (grad to rad)