🔁 Degrees → Radians
Translate sexagesimal angles into SI radians.
Essential for trigonometry, calculus, and any engineering field that uses radian measure.
180 degrees equals
3.141593 radians
Turns: 0.5
Gradians: 200
How to Use This Calculator
Enter degrees
Provide the angle in degrees from your calculation or measurement.
Read radians
The converter multiplies by π/180 to produce radians.
Compare other units
Turns and gradians help when bridging to other angular measurement systems.
Formula
Radians = Degrees × π / 180
Turns = Degrees ÷ 360
Gradians = Degrees × 10/9
Use the formula breakdown to confirm the calculation logic or perform the conversion manually if needed.
Full Description
Radians provide a natural way to measure angles in mathematics because they relate arc length directly to radius. Many engineering and physics formulas expect radians, even if your input data arrives in degrees.
This converter applies the exact factor π/180, preserving precision for downstream calculations. Additional outputs for turns and gradians help integrate with CAD tools and surveying systems that prefer those units.
For inverse conversions, use the angle converter or multiply radians by 180/π to return to degrees.
Frequently Asked Questions
How precise is π?
JavaScript’s math constants provide double-precision accuracy, more than enough for engineering use. For symbolic π, display the fraction manually.
Can I convert negative angles?
Yes. Negative degrees translate directly to negative radians, preserving orientation.
What about modular angles?
Results are direct. If you need values wrapped to 0–2π or 0–360°, apply modulo operations separately.
How do I use this in code?
Multiply degrees by Math.PI / 180. This calculator lets you confirm the results interactively.