📏 Degrees to Radians Converter
Convert degrees (°) to radians (rad) instantly, with the formula, a worked example and a conversion table.
Quick answer: 1 degree (°) = 0.017453293 radians (rad). Formula: rad = ° × 0.017453293.
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Degrees to Radians Converter inputs
Result
Degrees to Radians conversion table
| Degrees (°) | Radians (rad) |
|---|---|
| 0.1 ° | 0.0017453293 rad |
| 0.5 ° | 0.0087266463 rad |
| 1 ° | 0.017453293 rad |
| 2 ° | 0.034906585 rad |
| 3 ° | 0.052359878 rad |
| 5 ° | 0.087266463 rad |
| 10 ° | 0.17453293 rad |
| 20 ° | 0.34906585 rad |
| 25 ° | 0.43633231 rad |
| 50 ° | 0.87266463 rad |
| 100 ° | 1.7453293 rad |
| 1,000 ° | 17.453293 rad |
Other angle conversions
How to convert degrees to radians
Multiply the number of degrees by 0.017453293 to get radians: rad = ° × 0.017453293.
Example: 5 ° = 0.087266463 rad.
The degree (°) and the radian (rad) are both units of angle. Need the opposite direction? Use the rad to ° converter.
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Metric and imperial units
The metric system (SI) is used by almost every country and by science worldwide. Its units scale by powers of ten – 1 kilometer is 1,000 meters, 1 meter is 100 centimeters – which makes conversions inside the system easy. The imperial and US customary systems (inches, feet, pounds, gallons) are still used daily in the United States and partly in the UK.
Since 1959 the inch has been defined as exactly 2.54 centimeters and the pound as exactly 0.45359237 kilograms, so conversions between the two systems are exact. Note that a US gallon (3.785 L) and an imperial gallon (4.546 L) are different – choose the right one above.
This converter covers 18 categories and 106 units: length, weight, temperature, volume, area, speed, time, data, energy, pressure, power, angle, force, torque, frequency, flow rate, illuminance, density.
Frequently asked questions
How many radians are in a degree?
1 degree = 0.017453293 radians.
How do I convert degrees to radians?
Use the formula rad = ° × 0.017453293. For example, 5 ° = 0.087266463 rad.
How do I convert radians back to degrees?
1 radian = 57.29578 degrees. Use the rad to ° converter linked on this page.
Are these conversions exact?
Yes – all factors use the internationally defined values (for example 1 inch = 2.54 cm exactly, 1 pound = 0.45359237 kg exactly). Results are rounded to 8 significant digits for display.