Degrees to Gradians Converter
Enter the angle in degrees below to convert it to gradians.
Convert Degrees to Gradians
Enter a value in degrees (°) to convert to gradians (grad).
Degree to Gradian Conversion Table
Table showing various degree measurements converted to gradians. Click any preset value or arrow to load it into the converter.
| Degrees (°) | Gradians (grad) |
|---|---|
| 1 ° | 1.1111111 grad |
| 2 ° | 2.2222222 grad |
| 5 ° | 5.5555556 grad |
| 10 ° | 11.1111111 grad |
| 15 ° | 16.6666667 grad |
| 20 ° | 22.2222222 grad |
| 25 ° | 27.7777778 grad |
| 30 ° | 33.3333333 grad |
| 45 ° | 50 grad |
| 50 ° | 55.5555556 grad |
How to Convert Degrees to Gradians
To convert degrees to gradians, multiply the angle by the following conversion ratio: 1.1111111 gradians/degree.
Since one degree is equal to 1.1111111 gradians, you can use this simple formula to convert:
The angle in gradians is equal to the angle in degrees multiplied by 1.1111111.
For example, here's how to convert 90 degrees to gradians using the formula above.
How Many Gradians Are in a Degree?
There are 1.1111111 gradians in a degree, which is why we use this value in the formula above.
Our degree to gradian calculator automatically converts your angle measurements with full decimal and scientific precision across US customary, imperial, and SI metric standards.
Degrees and gradians are both units used to measure angle. Keep reading to learn more about each unit.
What Is a Degree?
1/360 of a full circle. It serves as a primary reference unit for measuring angle across scientific and practical applications. [1]
The degree is classified as a standard unit of angle. Degrees can be abbreviated as °; for example, 1 degree can be written as 1 °.
As the primary coherent reference unit for angle in this category, all other angle units are mathematically anchored to the degree (°).
In practice, degrees (°) are widely used across standard angle applications within international standard 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 degrees (°) and gradians (grad), keep full floating-point precision (1 ° = 1.1111111 grad; 1 grad = 0.9 °) during intermediate calculations and round only the final gradian figure to match your instrument tolerance.
More Degree & Gradian Conversions
Need to calculate in the opposite direction? Use our gradians to degrees calculator to switch your starting unit immediately. You can also explore related tools such as converting gradians to degrees, 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 — Degrees (°) to Gradians (grad)
- [2]NIST SI SpecificationNIST SI (SI Coherent Unit: Radian (rad))·Unit Specifications: Degree (°) & Gradian (Gon) (grad)
- [3]NIST SP 811 ReferenceNIST SP 811 (NIST SP 811 App. B.9 (Plane Angle))·Conversion Factors & Mathematical Basis (° to grad)