Angle Converter
Formula
1 ° = 0.01745329 radQuick Reference Table — Degree → Radian
| Value (°) | Result (rad) |
|---|---|
| 1 ° | 0.017453 rad |
| 5 ° | 0.087266 rad |
| 10 ° | 0.174533 rad |
| 15 ° | 0.261799 rad |
| 30 ° | 0.523599 rad |
| 45 ° | 0.785398 rad |
| 60 ° | 1.0472 rad |
| 90 ° | 1.5708 rad |
| 120 ° | 2.0944 rad |
| 180 ° | 3.1416 rad |
| 270 ° | 4.7124 rad |
| 360 ° | 6.2832 rad |
About Angle Conversions
Angle measurement is fundamental in mathematics, engineering, navigation, and physics. The degree (°) is the most widely used unit, where a full circle equals 360°. The radian (rad) is the SI unit for angles, used in mathematics and physics - one radian equals approximately 57.296°, and a full circle equals 2π radians. To convert degrees to radians, multiply by π/180. The gradian (grad or gon) divides a full circle into 400 units, making right angles exactly 100 gradians - this system is commonly used in surveying and civil engineering.