Gradians ↔ Degrees Converter
Convert between gradians and degrees instantly
📚 Gradians ↔ Degrees Conversion Details
Gradians to Degrees Formula
To convert gradians to degrees, multiply by 9/10 or 0.9.
Degrees to Gradians Formula
To convert degrees to gradians, multiply by 10/9 or approximately 1.1111.
What are Gradians?
Gradians (also called gons or grades) divide a right angle into 100 parts:
- 400 gradians = full circle (360°)
- 100 gradians = right angle (90°)
- 200 gradians = straight angle (180°)
Common Uses
- Surveying and navigation
- Artillery calculations
- Some engineering fields
- European topographic maps
📏 Key Conversion Ratios
| Angle Type | Full Circle | Right Angle | Straight Angle |
|---|---|---|---|
| Degrees | 360° | 90° | 180° |
| Gradians | 400 gon | 100 gon | 200 gon |
| Radians | 2π rad | π/2 rad | π rad |
degrees = gradians × 0.9
gradians = degrees ÷ 0.9
// Example 1: 100 gradians to degrees
degrees = 100 × 0.9 = 90°
// Example 2: 45 degrees to gradians
gradians = 45 ÷ 0.9 = 50 gon
📊 Conversion Table
| Gradians (gon) | Degrees (°) | Description |
|---|---|---|
| 0 gon | 0° | Zero angle |
| 50 gon | 45° | Half right angle |
| 100 gon | 90° | Right angle |
| 200 gon | 180° | Straight angle |
| 300 gon | 270° | Three-quarters circle |
| 400 gon | 360° | Full circle |
❓ Frequently Asked Questions
A: A gradian (also called gon or grade) is a unit of angle measurement where a right angle is divided into 100 parts. A full circle contains 400 gradians.
A: 100 gradians equals exactly 90 degrees (a right angle).
A: Gradians are used in some surveying and engineering applications because they provide a decimal system (400 per circle) that can simplify certain calculations.
A: Yes! You can type in either the gradians or degrees field, and both will update in real-time.