Radians ↔ Gradians Converter
Convert between radians and gradians instantly
📚 Radians ↔ Gradians Conversion Details
Radians to Gradians Formula
To convert radians to gradians, multiply radians by 200/π (approximately 63.662).
Gradians to Radians Formula
To convert gradians to radians, multiply gradians by π/200 (approximately 0.015708).
Bidirectional Conversion
This converter works both ways simultaneously:
- Type in radians → gradians updates automatically
- Type in gradians → radians updates automatically
- No buttons to click - works as you type
Common Uses
- Mathematics and trigonometry
- Engineering calculations
- Surveying and navigation
- Computer graphics and game development
📏 How This Converter Works
This is a bidirectional converter that works in real-time:
- Radians → Gradians: When you type in the radians field, the gradians field automatically updates
- Gradians → Radians: When you type in the gradians field, the radians field automatically updates
- No swapping needed: Both conversions happen simultaneously
- Real-time: Updates happen as you type, no button clicks required
gradians = radians × (200 / π)
radians = gradians × (π / 200)
// Example 1: Type "π" in radians (3.1416)
gradians = 3.1416 × (200 / 3.1416) = 200
// Example 2: Type "100" in gradians
radians = 100 × (3.1416 / 200) = 1.5708 (π/2)
📊 Conversion Table
| Radians (rad) | Gradians (gon) | Degrees (°) |
|---|---|---|
| 0 | 0 | 0° |
| π/2 (1.5708) | 100 | 90° |
| π (3.1416) | 200 | 180° |
| 3π/2 (4.7124) | 300 | 270° |
| 2π (6.2832) | 400 | 360° |
| π/4 (0.7854) | 50 | 45° |
❓ Frequently Asked Questions
A: A full circle is 2π radians (approximately 6.2832 rad) and 400 gradians. Therefore, π radians = 200 gradians.
A: Both input fields work simultaneously. When you change the radians value, gradians updates automatically. When you change the gradians value, radians updates automatically. No swap button needed.
A: No! The conversion happens automatically as you type in either field.
A: A gradian is a unit of angle measurement where a right angle is 100 gradians and a full circle is 400 gradians. It's also called a "gon" or "grade".