| Degree [°] | Radian [rad] |
|---|---|
| 0.01 ° | 0.0001745329 rad |
| 0.1 ° | 0.0017453293 rad |
| 1 ° | 0.0174532925 rad |
| 2 ° | 0.034906585 rad |
| 3 ° | 0.0523598776 rad |
| 5 ° | 0.0872664626 rad |
| 10 ° | 0.1745329252 rad |
| 20 ° | 0.3490658504 rad |
| 50 ° | 0.872664626 rad |
| 100 ° | 1.745329252 rad |
| 1000 ° | 17.4532925199 rad |
Converting Degrees to Radians is essential for advanced mathematics, physics, and engineering calculations. Since 180 degrees equals π radians, you can use this simple formula:
Formula: Radians = Degrees × (π/180) ≈ Degrees × 0.0174532925
For example, to convert 45 degrees to radians:
Calculation: 45° × (π/180) = π/4 ≈ 0.7853981634 rad
This conversion is crucial when working with trigonometric functions, angular measurements, or when switching between different unit systems in scientific calculations.
Our Degrees to Radians Converter is a free, precise, and user-friendly tool designed for students, engineers, and professionals needing accurate angle conversions. Whether you're solving calculus problems, working on physics experiments, or programming graphics, our converter provides instant, exact results.
Key Features:
Bookmark this essential angle conversion tool for quick access whenever you need to convert between degrees and radians!
Common Uses: This converter is perfect for mathematics students learning trigonometry, engineers working with angular measurements, physicists analyzing rotational motion, and game developers programming graphics rotations.
Did You Know? Radians are the standard unit of angular measure in mathematics because they relate directly to the radius of a circle. Many advanced mathematical formulas (like those in calculus) become simpler when using radians rather than degrees.