Degree to Radian Converter
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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.
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.
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.
Degree to Radian Formula
Conversion explanation: Divide the value in Degree by 57.29578 to get the equivalent value in Radian.
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
Converting a 90-degree right angle measurement into radians:
- Identify the multiplier factor:
0.0174532925. - Multiply 90 by the factor:
90 × 0.0174532925 = 1.5707963268. - Result: 90 degrees is equal to 1.5707963268 radians.
Degree to Radian Conversion Table
| Degree [°] | Radian [rad] |
|---|---|
| 0.01 ° | 0.0001745329 rad |
| 0.1 ° | 0.0017453293 rad |
| 1 ° | 0.0174532925 rad |
| 2 ° | 0.034906585 rad |
| 3 ° | 0.0523598776 rad |
| 4 ° | 0.0698131701 rad |
| 5 ° | 0.0872664626 rad |
| 6 ° | 0.1047197551 rad |
| 7 ° | 0.1221730476 rad |
| 8 ° | 0.1396263402 rad |
| 9 ° | 0.1570796327 rad |
| 10 ° | 0.1745329252 rad |
| 20 ° | 0.3490658504 rad |
| 30 ° | 0.5235987756 rad |
| 50 ° | 0.872664626 rad |
| 100 ° | 1.745329252 rad |
| 500 ° | 8.72664626 rad |
| 1000 ° | 17.4532925199 rad |