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Degree to Gradian Converter
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Degree to Gradian Formula
Conversion explanation: Multiply the value in Degree by 1.1111111111 to get the equivalent value in Gradian.
Popular angle unit conversions
What is Degree to Gradian Converter
A degree to gradian converter changes angle units from degrees (°) to gradians (gon). It is based on the standard geometric ratio where 90 degrees equals 100 gradians, meaning 1 degree is equal to approximately 1.11111 gradians. For related calculations, you can also check our degree to radian conversion tool.
Definitions of Degree and Gradian
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. For related unit metrics, you can use our radian to degree conversion tool.
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. If you need to make other calculations, see our gradian to degree conversion tool.
How to Convert Degree to Gradian
To convert a value from degrees to gradians, multiply the value by the conversion multiplier:
Step-by-Step Example
Suppose you want to convert 5 degrees to gradians. Using the conversion steps:
- Identify the multiplier factor:
1.1111111111. - Multiply 5 by the factor:
5 × 1.1111111111 = 5.5555555556. - Result: 5 degrees is equal to 5.5555555556 gradians.
Degree to Gradian Conversion Table
The table below provides quick reference conversions for common values from degrees to gradians:
| Degree [deg] | Gradian [grad] |
|---|---|
| 0.01 deg | 0.0111111111 grad |
| 0.1 deg | 0.1111111111 grad |
| 1 deg | 1.1111111111 grad |
| 2 deg | 2.2222222222 grad |
| 3 deg | 3.3333333333 grad |
| 4 deg | 4.4444444444 grad |
| 5 deg | 5.5555555556 grad |
| 6 deg | 6.6666666667 grad |
| 7 deg | 7.7777777778 grad |
| 8 deg | 8.8888888889 grad |
| 9 deg | 10 grad |
| 10 deg | 11.1111111111 grad |
| 20 deg | 22.2222222222 grad |
| 30 deg | 33.3333333333 grad |
| 50 deg | 55.5555555556 grad |
| 100 deg | 111.1111111111 grad |
| 500 deg | 555.5555555556 grad |
| 1000 deg | 1111.1111111111 grad |