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Degree to Radian Converter
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Degree to Radian Formula
Conversion explanation: Divide the value in Degree by 57.29578 to get the equivalent value in Radian.
Popular angle unit conversions
What is Degree to Radian Converter
A degree to radian converter is a math utility that transforms angle measurements from degrees (°) to radians (rad). It relies on the mathematical relationship where 180 degrees equals pi radians, or 1 degree is approximately 0.01745 radians. For related calculations, you can also check our radian to degree conversion tool.
Definitions of Degree and Radian
What is Degree?
A degree of arc is a unit of plane angle measurement representing 1/360th of a full rotation. It is widely used in geometry, cartography, and astronomy. For related unit metrics, you can use our degree to gradian conversion tool.
What is Radian?
A radian is the SI derived unit for measuring plane angles. It is defined as the angle subtended at the center of a circle by an arc equal in length to the radius. If you need to make other calculations, see our gradian to degree conversion tool.
How to Convert Degree to Radian
To convert a value from degrees to radians, multiply the value by the conversion multiplier:
Step-by-Step Example
Suppose you want to convert 5 degrees to radians. Using the conversion steps:
- Identify the multiplier factor:
0.0174532925. - Multiply 5 by the factor:
5 × 0.0174532925 = 0.0872664626. - Result: 5 degrees is equal to 0.0872664626 radians.
Degree to Radian Conversion Table
The table below provides quick reference conversions for common values from degrees to radians:
| Degree [deg] | Radian [rad] |
|---|---|
| 0.01 deg | 0.0001745329 rad |
| 0.1 deg | 0.0017453293 rad |
| 1 deg | 0.0174532925 rad |
| 2 deg | 0.034906585 rad |
| 3 deg | 0.0523598776 rad |
| 4 deg | 0.0698131701 rad |
| 5 deg | 0.0872664626 rad |
| 6 deg | 0.1047197551 rad |
| 7 deg | 0.1221730476 rad |
| 8 deg | 0.1396263402 rad |
| 9 deg | 0.1570796327 rad |
| 10 deg | 0.1745329252 rad |
| 20 deg | 0.3490658504 rad |
| 30 deg | 0.5235987756 rad |
| 50 deg | 0.872664626 rad |
| 100 deg | 1.745329252 rad |
| 500 deg | 8.72664626 rad |
| 1000 deg | 17.4532925199 rad |