Radians to Gradians Converter
Enter the angle in radians below to convert it to gradians.
Convert Radians to Gradians
Enter a value in radians (rad) to convert to gradians (grad).
Radian to Gradian Conversion Table
Table showing various radian measurements converted to gradians. Click any preset value or arrow to load it into the converter.
| Radians (rad) | Gradians (grad) |
|---|---|
| 1 rad | 63.6619772 grad |
| 2 rad | 127.3239545 grad |
| 2.5 rad | 159.1549431 grad |
| 5 rad | 318.3098862 grad |
| 10 rad | 636.6197724 grad |
| 15 rad | 954.9296586 grad |
| 20 rad | 1,273.2395447 grad |
| 25 rad | 1,591.5494309 grad |
| 30 rad | 1,909.8593171 grad |
| 50 rad | 3,183.0988618 grad |
How to Convert Radians to Gradians
To convert radians to gradians, multiply the angle by the following conversion ratio: 63.6619772 gradians/radian.
Since one radian is equal to 63.6619772 gradians, you can use this simple formula to convert:
The angle in gradians is equal to the angle in radians multiplied by 63.6619772.
For example, here's how to convert 5 radians to gradians using the formula above.
How Many Gradians Are in a Radian?
There are 63.6619772 gradians in a radian, which is why we use this value in the formula above.
Our radian to gradian calculator automatically converts your angle measurements with full decimal and scientific precision across US customary, imperial, and SI metric standards.
Radians and gradians are both units used to measure angle. Keep reading to learn more about each unit.
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°). [1]
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.
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°). [2]
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.
When converting angle between radians (rad) and gradians (grad), keep full floating-point precision (1 rad = 63.6619772 grad; 1 grad = 0.015708 rad) during intermediate calculations and round only the final gradian figure to match your instrument tolerance.
More Radian & Gradian Conversions
Need to calculate in the opposite direction? Use our gradians to radians calculator to switch your starting unit immediately. You can also explore related tools such as converting gradians to radians, converting degrees to gradians, 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 — Radians (rad) to Gradians (grad)
- [2]NIST SI SpecificationNIST SI (SI Coherent Unit: Radian (rad))·Unit Specifications: Radian (rad) & Gradian (Gon) (grad)
- [3]NIST SP 811 ReferenceNIST SP 811 (NIST SP 811 App. B.9 (Plane Angle))·Conversion Factors & Mathematical Basis (rad to grad)