Degree to Gradian Converter
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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.
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.
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.
Degree to Gradian Formula
Conversion explanation: Multiply the value in Degree by 1.1111111111 to get the equivalent value in Gradian.
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
Converting a 45-degree roof slope incline into gradians:
- Identify the multiplier factor:
1.1111111111. - Multiply 45 by the factor:
45 × 1.1111111111 = 50. - Result: 45 degrees is equal to 50 gradians.
Degree to Gradian Conversion Table
| Degree [°] | Gradian [grad] |
|---|---|
| 0.01 ° | 0.0111111111 grad |
| 0.1 ° | 0.1111111111 grad |
| 1 ° | 1.1111111111 grad |
| 2 ° | 2.2222222222 grad |
| 3 ° | 3.3333333333 grad |
| 4 ° | 4.4444444444 grad |
| 5 ° | 5.5555555556 grad |
| 6 ° | 6.6666666667 grad |
| 7 ° | 7.7777777778 grad |
| 8 ° | 8.8888888889 grad |
| 9 ° | 10 grad |
| 10 ° | 11.1111111111 grad |
| 20 ° | 22.2222222222 grad |
| 30 ° | 33.3333333333 grad |
| 50 ° | 55.5555555556 grad |
| 100 ° | 111.1111111111 grad |
| 500 ° | 555.5555555556 grad |
| 1000 ° | 1111.1111111111 grad |