Degree (°)
A degree is 1/360 of a full circle — the everyday unit for angles, latitude, and compass bearings.
Degrees measure roof pitch, camera field of view, map coordinates, and classroom geometry.
Degree to Radian
Convert degree to radian instantly. Type in either field — results update live.
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Angle Degree Radian
1 degree = 0.0174532925 radians
Unit
Unit
Conversion table
Selected ° values converted to rad using the exact factor from this tool.
| ° | rad |
|---|---|
| 0.01 | 0.0001745329 |
| 0.1 | 0.0017453293 |
| 1 | 0.0174532925 |
| 2 | 0.034906585 |
| 3 | 0.0523598776 |
| 5 | 0.0872664626 |
| 10 | 0.1745329252 |
| 20 | 0.3490658504 |
| 50 | 0.872664626 |
| 100 | 1.745329252 |
| 1,000 | 17.4532925199 |
How to convert
Exact conversion factors in both directions, plus a worked example.
1 ° = 0.0174532925 rad
1 rad = 57.2957795131 °
To convert degree to radian, multiply by 0.0174532925.
To convert radian to degree, multiply by 57.2957795131.
Example: convert 10 ° to rad
10 × 0.0174532925 = 0.1745329252 rad
About these units
Short background on the units used in this conversion.
Radian (rad)
A radian is the SI unit of angle — the angle subtended when arc length equals radius, about 57.3 degrees.
Radians appear in trigonometry, physics formulas, and programming math libraries.
Frequently asked questions
How many radians are in one degree?
One degree equals 0.0174532925 radians. Multiply your degrees value by 0.0174532925 to convert to radians.
What is the conversion formula?
rad = ° × 0.0174532925The reverse is
° = rad × 57.2957795131, using the same exact factors as this converter.Is this Degree to Radian converter private?
Yes. All calculations run locally in your browser. Nothing you type is sent to a server.