Gradian to Degree Converter
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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.
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.
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.
Gradian to Degree Formula
Conversion explanation: Divide the value in Gradian by 1.111111 to get the equivalent value in Degree.
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
Converting a 100 gradian land survey angle into degrees:
- Identify the multiplier factor:
0.9. - Multiply 100 by the factor:
100 × 0.9 = 90. - Result: 100 gradians is equal to 90 degrees.
Gradian to Degree Conversion Table
| Gradian [grad] | Degree [°] |
|---|---|
| 0.01 grad | 0.009 ° |
| 0.1 grad | 0.09 ° |
| 1 grad | 0.9 ° |
| 2 grad | 1.8 ° |
| 3 grad | 2.7 ° |
| 4 grad | 3.6 ° |
| 5 grad | 4.5 ° |
| 6 grad | 5.4 ° |
| 7 grad | 6.3 ° |
| 8 grad | 7.2 ° |
| 9 grad | 8.1 ° |
| 10 grad | 9 ° |
| 20 grad | 18 ° |
| 30 grad | 27 ° |
| 50 grad | 45 ° |
| 100 grad | 90 ° |
| 500 grad | 450 ° |
| 1000 grad | 900 ° |