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📏 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

1 ° =

0.017453293 rad

rad = ° × 0.017453293

1 degree = 0.017453293 rad · rad to °

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

° to rad° to gon° to ′° to ″° to rev

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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.