Gradians to Degrees Converter
Convert angle measurements from gradians (gons/grades) to degrees. Enter any gradian value and get the precise equivalent in degrees.
Common Gradians to Degrees Conversions
| Gradians (grad) | Degrees (°) |
|---|---|
| 0 grad | 0° |
| 25 grad | 22.5° |
| 50 grad | 45° |
| 100 grad | 90° |
| 150 grad | 135° |
| 200 grad | 180° |
| 300 grad | 270° |
| 400 grad | 360° |
How to Convert Gradians to Degrees
Converting gradians to degrees uses the inverse of the degrees-to-gradians formula. Since 400 gradians equal 360 degrees, the conversion is straightforward.
The Conversion Formula
Or equivalently:
Example: Converting 100 Gradians to Degrees
degrees = 100 grad × 0.9 = 90°
Example: Converting 200 Gradians to Degrees
degrees = 200 grad × 0.9 = 180°
Understanding Gradians
Gradians provide a decimal-friendly way to measure angles. The key advantage is that perpendicular angles are exactly 100 gradians, half turns are 200 gradians, and full rotations are 400 gradians - all round numbers that simplify mental arithmetic.
When to Use This Conversion
Importing Survey Data: If you receive angular measurements in gradians from European survey equipment, convert to degrees for use with other systems.
Calculator Modes: When switching between GRAD and DEG modes on scientific calculators, understanding the conversion helps verify results.
Historical Documents: Some older French and European engineering documents use gradians, requiring conversion for modern use.