Conversion Formula
$$\theta_{\text{rad}} = \theta_{°} \times \frac{\pi}{180}$$
Multiply degrees by π/180 (approximately 0.01745) to get radians.
° to rad Conversion Table
| Degree (°) | Radian (rad) |
|---|---|
| 0.1 | 0.00174533 |
| 0.5 | 0.00872665 |
| 1 | 0.0174533 |
| 2 | 0.0349066 |
| 5 | 0.0872665 |
| 10 | 0.174533 |
| 25 | 0.436332 |
| 50 | 0.872665 |
| 100 | 1.74533 |
| 250 | 4.36332 |
| 500 | 8.72665 |
| 1,000 | 17.4533 |
° to rad in Engineering
Angle conversions are essential for structural analysis, surveying, mechanical design, and navigation. Degrees are standard for most engineering applications, while radians are required for mathematical and dynamic calculations. Gradians are used in European surveying.
Degree: Most common angle unit in engineering practice. 360° in a full circle. Standard for drawings, specifications, and surveying.
Radian: SI unit of angle. Defined as the angle subtended by an arc equal in length to the radius. Required for trigonometric calculations.