Convert Degree to Radian
Use this free converter to change degrees (°) into radians (rad). Degree and radian both measure angle. As a quick reference, 1 ° equals 0.017453293 rad, and 1 rad equals 57.29578 °.
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Radian (rad)
0.017453293
1 ° = 0.017453293 rad
Angle conversion table
| Degree | Radian |
|---|---|
| 0.01 | 0.00017453293 |
| 0.1 | 0.0017453293 |
| 0.5 | 0.0087266463 |
| 1 | 0.017453293 |
| 2 | 0.034906585 |
| 3 | 0.052359878 |
| 5 | 0.087266463 |
| 10 | 0.17453293 |
| 20 | 0.34906585 |
| 25 | 0.43633231 |
| 50 | 0.87266463 |
| 100 | 1.7453293 |
| 1,000 | 17.453293 |
How to convert Degree to Radian
Multiply the degree value by 0.017453293 to get radians.
- Enter the number of degrees you want to convert.
- The converter instantly shows the equivalent value in radians.
- Worked example: 15 ° × 0.017453293 = 0.26179939 rad.
- Use the swap button to reverse the conversion (radian to degree).
About these units
Degree (°)
- Definition
- A degree (°) is an angle equal to 1/360 of a full turn.
- History
- The 360-degree circle descends from Babylonian astronomy and its base-60 number system.
- Current use
- Degrees measure angles in navigation, geometry, and everyday use.
Radian (rad)
- Definition
- A radian (rad) is the SI angle for which the arc length equals the radius; a full circle is 2π radians.
- History
- The concept was formalised in the 19th century and named in 1873.
- Current use
- Radians are the standard angle unit in mathematics and physics.
Frequently asked questions
How many radians are in a degree?
There are 0.017453293 rad in 1 °. To convert, multiply the number of degrees by 0.017453293.
How do I convert degrees to radians?
Multiply the degree value by 0.017453293 to get radians. For example, 10 ° = 0.17453293 rad.
Is this degree-to-radian converter free?
Yes. This converter is completely free, runs entirely in your browser, and requires no sign-up. Your inputs never leave your device.
Convert Degree to other angle units
| Unit | 1 Degree equals |
|---|---|
| Radian (rad) | 0.017453293 rad |
| Gradian (grad) | 1.1111111 grad |
| Arcminute (') | 60 ' |
| Arcsecond (") | 3600 " |
| Turn (turn) | 0.0027777778 turn |