On This Page
Gradian to Degree Converter
On This Page
Gradian to Degree Formula
Conversion explanation: Divide the value in Gradian by 1.111111 to get the equivalent value in Degree.
Popular angle unit conversions
What is Gradian to Degree Converter
A gradian to degree converter converts angle measurements from gradians (gon) to degrees (°). Based on the geometric ratio where 100 gradians equals 90 degrees, or 1 gradian equals 0.9 degrees, this tool provides quick conversion results. For related calculations, you can also check our degree to radian conversion tool.
Definitions of Gradian and Degree
What is Gradian?
A gradian is a unit of plane angle measurement equal to 1/400th of a full circle. It is sometimes used in surveying and geodesy as an alternative to degrees. For related unit metrics, you can use our radian to degree conversion tool.
What is Degree?
A degree of arc is a unit of plane angle measurement representing 1/360th of a full rotation. It is widely used in geometry, cartography, and astronomy. If you need to make other calculations, see our degree to gradian conversion tool.
How to Convert Gradian to Degree
To convert a value from gradians to degrees, multiply the value by the conversion multiplier:
Step-by-Step Example
Suppose you want to convert 5 gradians to degrees. Using the conversion steps:
- Identify the multiplier factor:
0.9. - Multiply 5 by the factor:
5 × 0.9 = 4.5. - Result: 5 gradians is equal to 4.5 degrees.
Gradian to Degree Conversion Table
The table below provides quick reference conversions for common values from gradians to degrees:
| Gradian [grad] | Degree [deg] |
|---|---|
| 0.01 grad | 0.009 deg |
| 0.1 grad | 0.09 deg |
| 1 grad | 0.9 deg |
| 2 grad | 1.8 deg |
| 3 grad | 2.7 deg |
| 4 grad | 3.6 deg |
| 5 grad | 4.5 deg |
| 6 grad | 5.4 deg |
| 7 grad | 6.3 deg |
| 8 grad | 7.2 deg |
| 9 grad | 8.1 deg |
| 10 grad | 9 deg |
| 20 grad | 18 deg |
| 30 grad | 27 deg |
| 50 grad | 45 deg |
| 100 grad | 90 deg |
| 500 grad | 450 deg |
| 1000 grad | 900 deg |