🔺 Degree to Radian Converter
Free online tool to convert Degree (°) to Radian (rad). Enter a value and get instant, accurate results.
Enter a value above to see the result
Degree to Radian Conversion Table
| Degree (°) | Radian (rad) |
|---|---|
| 30 ° | 0.52359878 rad |
| 45 ° | 0.78539816 rad |
| 60 ° | 1.0471976 rad |
| 90 ° | 1.5707963 rad |
| 180 ° | 3.1415927 rad |
| 360 ° | 6.2831853 rad |
Conversion Formula
1 full turn = 360° = 2π rad ≈ 6.2832 rad = 400 grad 1° = 60 arcminutes (′) = 3,600 arcseconds (″) rad → deg: multiply by 180/π ≈ 57.2958 deg → rad: multiply by π/180 ≈ 0.017453
About Degree to Radian Conversions
Converting angles between Degree and Radian is essential in mathematics, computer graphics, and engineering. Enter a value below to get an accurate result instantly.
The conversion factor is: 1 ° = 0.017453293 rad. To convert manually, multiply your value by 0.017453293. As a quick example: 10 ° = 0.17453293 rad.
This page includes a reference table of common Degree values pre-converted to Radian, the conversion formula, and frequently asked questions. All values use internationally recognized conversion standards.
Frequently Asked Questions
How do I convert Degree to Radian?
Multiply your Degree value by 0.017453293 to get Radian. For example: 10 ° × 0.017453293 = 0.17453293 rad. You can also use the converter above for instant results.
How many Radian are in 1 Degree?
There are 0.017453293 rad in exactly 1 °. This is the direct conversion factor between these two units.
Is Degree larger or smaller than Radian?
One Degree is smaller than one Radian. Specifically, 1 ° = 0.017453293 rad, so your number decreases when converting from ° to rad.
When would I use Radian instead of Degree?
Radians are the standard in mathematics and programming — most math libraries (JavaScript, Python, C++) use radians by default. Use rad whenever the context or formula you are working with requires it.
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All conversion results are provided for general informational purposes only. Our formulas use internationally recognized conversion factors; however, rounding may affect precision. Do not rely on these results for professional, medical, legal, or engineering decisions without independent verification. Read our full disclaimer.