Degree to Radian Converter
Convert Degree (deg) to Radian (rad) instantly with this angle converter. Use the calculator above, then check the formula, worked examples, table, and manual steps below.
Formula
rad = deg × 0.01745329252
Multiply the Degree value by 0.01745329252 to get the equivalent value in Radian.
Example Conversions
1 Degree (deg)
0.01745329252 Radian (rad)
5 Degree (deg)
0.0872664626 Radian (rad)
10 Degree (deg)
0.1745329252 Radian (rad)
25 Degree (deg)
0.436332313 Radian (rad)
100 Degree (deg)
1.745329252 Radian (rad)
Conversion Table
| Degree (deg) | Radian (rad) |
|---|---|
| 0.1 | 0.001745329252 |
| 0.5 | 0.00872664626 |
| 1 | 0.01745329252 |
| 2 | 0.03490658504 |
| 5 | 0.0872664626 |
| 10 | 0.1745329252 |
| 25 | 0.436332313 |
| 50 | 0.872664626 |
| 100 | 1.745329252 |
| 250 | 4.36332313 |
| 500 | 8.72664626 |
| 1000 | 17.45329252 |
How to Convert Manually
Use these steps to convert Degree values to Radian without the calculator.
- Write down the value in Degree (deg) that you want to convert.
- Multiply that value by 0.01745329252.
- For example, 10 Degree × 0.01745329252 = 0.1745329252 Radian.
- Label the result as Radian (rad).
Relative Size Comparison
This chart shows the visual difference in size between exactly one Degree and one Radian.
About Degree and Radian
Converting Degree to Radian is common in angle applications, engineering, and everyday life. Whether you are translating specifications from international manuals, completing homework, or planning a project, having an accurate deg to rad calculation ensures your measurements are correct.
The Degree is a unit of angle. One Degree equals 1 deg in this converter's base scale.
The Radian is also a angle unit. One Radian equals 57.29577951 deg in the same base scale.
Precision and Rounding: When converting Degree to Radian, you may encounter long decimal numbers. For most practical purposes, rounding to two or three decimal places is sufficient. However, for machining, scientific research, or strict engineering tolerances, you should maintain as much precision as possible before your final calculation.
Worked Example
15 Degree equals 0.2617993878 Radian.
15 deg × 0.01745329252 = 0.2617993878 rad
FAQ
How do I convert Degree to Radian?
Multiply the Degree value by 0.01745329252 to get the equivalent value in Radian.
What is the formula for Degree to Radian?
The formula is rad = deg × 0.01745329252.
How many Radian are in 1 Degree?
1 Degree equals 0.01745329252 Radian.
Can I convert Radian back to Degree?
Yes. 1 Radian equals 57.29577951 Degree, and the related converter can reverse the calculation.
What are common names for Degree and Radian?
Degree is shown as deg and may also be searched as degree, degrees, °. Radian is shown as rad and may also be searched as radian, radians.
Was this page helpful?
Let us know if this converter met your needs.