Degree to Radian Converter
Understanding the Degree to Radian Conversion
Converting Degree (°) to Radian (rad) is a common requirement in technical, academic, and practical scenarios. Both units belong to the Angle measurement category, yet they are used differently depending on scale, purpose, and regional standards. Degree is often used in general use and geometric applications, while Radian is commonly applied in advanced mathematics, physics, and computer science. When switching between systems, accurate conversions ensure consistency in results and compatibility in documentation.
Many fields rely on this conversion, including engineering, construction, manufacturing, scientific research, product design, and education. Tasks such as drafting, technical comparisons, calibration, and data interpretation often require moving between Degree and Radian. Without accurate conversion, small errors can multiply and affect outcomes.
This page provides precise Degree to Radian conversions using verified formulas. Values update instantly as users type, making it efficient for quick checks or detailed calculations. Additional sections on this page explain the formula, offer a table of common values, and provide answers to frequently asked questions. These help users understand the meaning behind the numbers, not just the result itself.
Formula for converting Degree to Radian:
rad = ° × 0.017453
Where:
- ° = value in Degree
- 0.017453 = the conversion factor
- rad = resulting value in Radian
Quick Reference: Degree to Radian Table
The table below lists commonly referenced values when converting Degree to Radian. These fixed conversions help users verify results quickly, estimate measurements, or complete assignments without repeatedly entering numbers. They also support technical tasks, documentation, and comparison work. The table includes values such as 1, 2, 5, 10, 25, 50, 100, 500, and 1000 to cover a wide range of practical use cases.
| Degree (°) | Radian (rad) |
|---|---|
| 1 | 0.017453 |
| 2 | 0.034907 |
| 5 | 0.087266 |
| 10 | 0.174533 |
| 25 | 0.436332 |
| 50 | 0.872665 |
| 100 | 1.745329 |
| 500 | 8.726646 |
| 1000 | 17.453293 |