Degrees to Radians Converter ° → rad
1 degree (°) = 0.01745329252 radians (rad). Type a value below — the conversion happens instantly, entirely on your device.
1 ° = 0.01745329252 rad
1 degrees = 0.017453293 radians
1 × 0.0174533 = 0.017453293
1 ° equals 0.0174533 rad, so multiplying by 0.0174533 converts the value. The result describes the exact same quantity — only the measuring stick changes.
How to convert degrees to radians
radians = degrees × 0.01745329252 — multiply the degree value by 0.0174533.
Example: 10 ° = 0.174533 rad.
To convert the other way: degrees = radians ÷ 0.01745329252 — or use the dedicated rad to ° converter .
Degrees to Radians conversion table
| Degrees (°) | Radians (rad) |
|---|---|
| 0.1 | 0.0017453293 |
| 0.25 | 0.0043633231 |
| 0.5 | 0.0087266463 |
| 1 | 0.017453293 |
| 2 | 0.034906585 |
| 3 | 0.052359878 |
| 4 | 0.06981317 |
| 5 | 0.087266463 |
| 6 | 0.10471976 |
| 7 | 0.12217305 |
| 8 | 0.13962634 |
| 9 | 0.15707963 |
| 10 | 0.17453293 |
| 15 | 0.26179939 |
| 20 | 0.34906585 |
| 25 | 0.43633231 |
| 30 | 0.52359878 |
| 40 | 0.6981317 |
| 50 | 0.87266463 |
| 75 | 1.3089969 |
| 100 | 1.7453293 |
| 250 | 4.3633231 |
| 500 | 8.7266463 |
| 1000 | 17.453293 |
About the units
What is a degree?
The everyday angle unit — 360 degrees make a full circle, so a right angle is 90° and a straight line 180°. Divided into 60 arcminutes each of 60 arcseconds.
What is a radian?
The SI angle unit — the angle subtended when the arc length equals the radius. A full circle is 2π radians, so 1 rad ≈ 57.2958°. Used throughout mathematics and physics.
Frequently asked questions
How many radians are in 1 degree?
1 degree (°) = 0.01745329252 radians (rad).
What is the formula to convert degrees to radians?
radians = degrees × 0.01745329252 — multiply the degree value by 0.0174533.
How do I convert ° to rad without a calculator?
Multiply by 0.0175 for a close estimate. Exact factor: 1 ° = 0.01745329252 rad.
Is this °-to-rad converter accurate and private?
Yes. It uses the exact internationally defined conversion factors and computes results locally in your browser — your input is never sent to a server, and the page keeps working offline.