Gradians ↔ Radians Converter
Convert between gradians (gons) and radians instantly
📚 Gradians ↔ Radians Conversion Details
Gradians to Radians Formula
To convert gradians to radians, multiply gradians by π/200.
Radians to Gradians Formula
To convert radians to gradians, multiply radians by 200/π.
What are Gradians?
Gradians (also called gons) divide a circle into 400 equal parts. One gradian equals 0.9 degrees.
- 100 grad = 90° = right angle
- 200 grad = 180° = straight angle
- 400 grad = 360° = full circle
Common Uses
- Surveying and topography
- Artillery calculations
- Some scientific calculators
- European civil engineering
📏 How This Converter Works
This is a bidirectional converter that works in real-time:
- Gradians → Radians: When you type in the gradians field, the radians field automatically updates
- Radians → Gradians: When you type in the radians field, the gradians field automatically updates
- No swapping needed: Both conversions happen simultaneously
- Real-time: Updates happen as you type, no button clicks required
radians = gradians × (π / 200)
gradians = radians × (200 / π)
// Example 1: Type "100" in gradians
radians = 100 × (π / 200) = 1.5708
// Example 2: Type "3.1416" in radians
gradians = 3.1416 × (200 / π) = 200
📊 Key Conversion Table
| Gradians | Radians | Degrees | Description |
|---|---|---|---|
| 0 gon | 0 rad | 0° | Zero angle |
| 100 gon | π/2 rad | 90° | Right angle |
| 200 gon | π rad | 180° | Straight angle |
| 300 gon | 3π/2 rad | 270° | Three-quarters |
| 400 gon | 2π rad | 360° | Full circle |
🔢 Comparison of Angle Units
| Unit | Full Circle | Right Angle | Also Called |
|---|---|---|---|
| Gradians | 400 gon | 100 gon | Gons, grades |
| Degrees | 360° | 90° | Arc degrees |
| Radians | 2π rad | π/2 rad | - |
| Turns | 1 turn | 0.25 turn | Revolutions |
❓ Frequently Asked Questions
A: A gradian (also called gon or grade) is 1/400 of a full circle. It's used in some fields like surveying because it simplifies calculations (100 grad = right angle).
A: 100 gradians = π/2 radians ≈ 1.5708 radians, which is a right angle.
A: Gradians can simplify calculations because they're based on 400 units per circle, making right angles exactly 100 grad. Some calculators and surveying equipment use gradians.
A: Yes! You can type in either field and both will update automatically in real-time.