Gradians to Degrees Converter
Enter the angle in gradians below to convert it to degrees.
Convert Gradians to Degrees
Enter a value in gradians (grad) to convert to degrees (°).
Gradian to Degree Conversion Table
Table showing various gradian measurements converted to degrees. Click any preset value or arrow to load it into the converter.
How to Convert Gradians to Degrees
To convert gradians to degrees, multiply the angle by the following conversion ratio: 0.9 degrees/gradian.
Since one gradian is equal to 0.9 degrees, you can use this simple formula to convert:
The angle in degrees is equal to the angle in gradians multiplied by 0.9.
For example, here's how to convert 5 gradians to degrees using the formula above.
How Many Degrees Are in a Gradian?
There are 0.9 degrees in a gradian, which is why we use this value in the formula above.
Our gradian to degree calculator automatically converts your angle measurements with full decimal and scientific precision across US customary, imperial, and SI metric standards.
Gradians and degrees 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 Degree?
1/360 of a full circle. It serves as a primary reference unit for measuring angle across scientific and practical applications. [2]
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.
When converting angle between gradians (grad) and degrees (°), keep full floating-point precision (1 grad = 0.9 °; 1 ° = 1.1111111 grad) during intermediate calculations and round only the final degree figure to match your instrument tolerance.
More Gradian & Degree Conversions
Need to calculate in the opposite direction? Use our degrees to gradians converter (° to grad) to switch your starting unit immediately. You can also explore related tools such as converting radians to degrees, converting arcminutes to degrees, or converting degrees to radians.
Frequently Asked Questions
References
- [1]NIST CUU StandardNIST CUU (Non-SI Units Accepted for Use (deg, arcmin, arcsec))·Angle Metrology Standard — Gradians (grad) to Degrees (°)
- [2]NIST SI SpecificationNIST SI (SI Coherent Unit: Radian (rad))·Unit Specifications: Gradian (Gon) (grad) & Degree (°)
- [3]NIST SP 811 ReferenceNIST SP 811 (NIST SP 811 App. B.9 (Plane Angle))·Conversion Factors & Mathematical Basis (grad to °)