Convert Degree to Radian
Enter a value in Degree to see it instantly in Radian, or use the reverse converter below.
Degree
Definition: One 360th of a full rotation.
Current use: The everyday unit for angles in geometry, navigation, and construction.
Radian
Definition: The SI unit of angle, where one full rotation equals 2π radians.
Current use: Used throughout calculus, physics, and engineering.
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 |
| 5 ° | 0.0872664626 rad |
| 10 ° | 0.1745329252 rad |
| 20 ° | 0.3490658504 rad |
| 50 ° | 0.872664626 rad |
| 100 ° | 1.745329252 rad |
| 1000 ° | 17.4532925199 rad |
How to Convert Degree to Radian
1 rad = 57.2957795131 °
Example: convert 1 ° to rad:
Radian to Degree Conversion Table
| Radian [rad] | Degree [°] |
|---|---|
| 0.01 rad | 0.5729577951 ° |
| 0.1 rad | 5.7295779513 ° |
| 1 rad | 57.2957795131 ° |
| 2 rad | 114.5915590262 ° |
| 3 rad | 171.8873385392 ° |
| 5 rad | 286.4788975654 ° |
| 10 rad | 572.9577951308 ° |
| 20 rad | 1145.9155902616 ° |
| 50 rad | 2864.7889756541 ° |
| 100 rad | 5729.5779513082 ° |
| 1000 rad | 57295.7795130823 ° |
Quick Estimate
For a quick mental estimate, 1 ° is about 0.017 rad, and 1 rad is about 57 °. Use the exact calculator above when accuracy matters, such as for money, medicine, engineering or anything you will buy or sell.
Frequently Asked Questions
How many Radian are in 1 Degree?
1 Degree (°) equals 0.0174532925 Radian (rad).
How do I convert Degree to Radian?
Multiply the value in ° by 0.0174532925 to get rad. To go the other way, multiply rad by 57.2957795131.
What is 10 Degree in Radian?
10 ° = 0.1745329252 rad.
What is 100 Degree in Radian?
100 ° = 1.745329252 rad.
What is a Degree?
One 360th of a full rotation. The everyday unit for angles in geometry, navigation, and construction.
What is a Radian?
The SI unit of angle, where one full rotation equals 2π radians. Used throughout calculus, physics, and engineering.
How many Degree are in 1 Radian?
1 Radian (rad) equals 57.2957795131 Degree (°).
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