Gradian to Degree Converter
Quick answer
To convert Gradians to degrees, multiply by 0.9 (or divide by 1.1111111111). Therefore, 1 Gradian (gon) equals 0.9 degrees (°).
Formula: ° = gon × 0.9. Worked example: 10 gon = 9 °.
Convert Gradian (gon) to Degree (°) online with our free unit converter. In angle, 1 gon = 0.9 °. Explore step-by-step conversion steps, mathematical formulas, and quick conversion reference tables below.
Worked example: converting Gradian to Degree
- Step 1 — start with the formula. ° = gon × 0.9
- Step 2 — substitute your figure. 10 gon × 0.9
- Step 3 — read the result. 10 gon = 9 °
- Step 4 — check it in reverse. gon = ° × 1.1111111111 returns 10 gon, which matches the figure you started with.
Angle Converter
14 units available
1 gon = 0.9 °
Formula:
° = gon × 0.9With your value: 1 gon = 0.9 °
Other Gradian to Degree conversions
Gradian to Degree Conversion Table
| Gradian (gon) | Degree (°) |
|---|---|
| 0.5 | 0.45 |
| 1 | 0.9 |
| 2 | 1.8 |
| 5 | 4.5 |
| 10 | 9 |
| 15 | 13.5 |
| 20 | 18 |
| 25 | 22.5 |
| 50 | 45 |
| 100 | 90 |
| 250 | 225 |
| 500 | 450 |
| 1000 | 900 |
Degree to Gradian Conversion Table
| Degree (°) | Gradian (gon) |
|---|---|
| 0.5 | 0.555556 |
| 1 | 1.111111 |
| 2 | 2.222222 |
| 5 | 5.555556 |
| 10 | 11.111111 |
| 15 | 16.666667 |
| 20 | 22.222222 |
| 25 | 27.777778 |
| 50 | 55.555556 |
| 100 | 111.111111 |
| 250 | 277.777778 |
| 500 | 555.555556 |
| 1000 | 1,111.111111 |
Where these values come from
Every factor on this page is traced to the document that defines it. See the full provenance dataset or our methodology.
Gradian (gon)
Angle
The radian is the coherent SI unit of plane angle; the degree is exactly π/180 rad and is accepted for use with the SI.
Source: Units accepted for use with the SI, SI Brochure Table 8
Bureau International des Poids et Mesures · Reviewed 2026-07-01
Degree (°)
Angle
1° = π/180 rad exactly; accepted for use with the SI.
Source: Units accepted for use with the SI, SI Brochure Table 8
Bureau International des Poids et Mesures · Reviewed 2026-07-01
How to Convert Gradian to Degree
To convert from Gradian (gon) to Degree (°), multiply the value by 0.9.
Formula: ° = gon × 0.9
Reverse: gon = ° × 1.1111111111
Step-by-Step Example
- Start with your value in Gradian. For example: 5 gon
- Multiply by the conversion factor: 5 x 0.9
- The result is: 4.5 °
Gradian and Degree Relationship
This calculation facilitates standardized conversion between recognized units of angle. Since 1 Gradian represents a fraction of a Degree (1 Degree ≈ 1.1111 Gradians), the Degree is the larger measurement interval. Understanding the relationship between Gradian and Degree is essential for accurate calculations in physics, engineering, commerce, and daily applications.
About Gradian
The Gradian (symbol: gon) is a recognized unit in the Standard measurement framework, utilized within angle applications for precision and standardized data representation.
Common uses of Gradian: angle calculations, engineering and science, education.
About Degree
The degree is a measurement of angle equal to 1/360 of a full rotation. It is the most commonly used unit of angular measurement.
Common uses of Degree: navigation, geometry, construction.
Frequently Asked Questions
- How many degrees are in 1 Gradian?
- There are exactly 0.9 degrees in 1 Gradian. This means the conversion factor from Gradian to Degree is 0.9.
- What is the formula to convert Gradian to Degree?
- The formula to convert Gradian to Degree is: ° = gon × 0.9. For example, to convert 10 Gradians to degrees, you would multiply 10 by 0.9.
- What is a Gradian?
- The Gradian (symbol: gon) is a recognized unit in the Standard measurement framework, utilized within angle applications for precision and standardized data representation.
- What is a Degree?
- The degree is a measurement of angle equal to 1/360 of a full rotation. It is the most commonly used unit of angular measurement.
- What are the common uses of Gradian?
- The Gradian is commonly used in angle calculations, engineering and science, education.
Related Angle Conversions
Cite this page
UnitConvertLab. (2026). Gradian to Degree converter. UnitConvertLab. Retrieved from https://unitconvertlab.com/convert/gradian-to-degree