Formula and method
The deg To rad Converter converts values between Degree (deg) and Radian (rad).
Conversion factor: 1 Degree (deg) = 0.017453293 Radian (rad).
Angular unit conversions translate planar rotation between circular degrees, mathematical radians, gradians, and arc subdivisions.
Examples
- Convert deg to rad instantly.
- Swap units or choose another unit from the same group.
- Example: 1 deg converts to 0.0174533 rad.
- Angles are measured in degrees (°) for everyday geometry, navigation, and construction; radians (rad) for mathematics and programming (Math.sin/cos require radians); gradians (grad/gon) for surveying (400 grad = full circle); and arcminutes/arcseconds for astronomy and GPS precision.
Understanding Degree to Radian Conversion
Converting values from Degree (deg) to Radian (rad) is a unit transformation in the angle measurement system. 1 Degree (deg) equals exactly 0.017453293 Radian (rad).
Real-world applications: 1° = π/180 ≈ 0.017453 rad. Full circle: 360° = 2π rad ≈ 6.2832 rad. Right angle: 90° = π/2 ≈ 1.5708 rad. Programming languages (JavaScript, Python) use radians in Math.sin/cos — convert degrees to radians before calling trigonometric functions.
When this conversion matters: Angles are measured in degrees (°) for everyday geometry, navigation, and construction; radians (rad) for mathematics and programming (Math.sin/cos require radians); gradians (grad/gon) for surveying (400 grad = full circle); and arcminutes/arcseconds for astronomy and GPS precision.
Precision & standards: Angular unit conversions translate planar rotation between circular degrees, mathematical radians, gradians, and arc subdivisions. SpecWhale uses official SI and imperial conversion factors, computed with 64-bit IEEE 754 floating-point arithmetic entirely in your browser — no data is sent to any external server.
deg To rad Converter quick reference table
Common deg amounts converted to rad, generated from the exact formula above so every row matches the live calculator.
| deg | rad |
|---|---|
| 1 deg | 0.01745329 rad |
| 2 deg | 0.03490659 rad |
| 5 deg | 0.08726646 rad |
| 10 deg | 0.17453293 rad |
| 25 deg | 0.43633231 rad |
| 50 deg | 0.87266463 rad |
| 100 deg | 1.7453 rad |
| 500 deg | 8.7266 rad |
| 1,000 deg | 17.4533 rad |
Convert deg to other units
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Frequently asked questions
How do I convert deg to rad with deg To rad Converter?
To convert deg to rad, enter your value into the input field above. CalcuSpec applies standard international unit conversion factors instantly as you type.
Is the deg To rad Converter calculation exact and standardized?
Yes, conversions on CalcuSpec use official international standard conversion factors (SI/Imperial) and compute locally in your browser with floating-point precision.
Can I convert values offline using deg To rad Converter?
Yes. Once the page is loaded in your browser, all unit conversions process offline without requiring active internet connectivity.
Is deg To rad Converter free to use?
Yes. deg To rad Converter is completely free, has no usage limit, and does not require an account, email, or API key.
What is the formula to convert Degree (deg) to Radian (rad)?
1 Degree (deg) = 0.017453293 Radian (rad). Multiply any Degree value by 0.017453293 to calculate Radian.
Does deg To rad Converter store or upload my data?
No. deg To rad Converter calculates everything locally in your browser. Nothing you type is sent to a server or stored by SpecWhale.
How accurate is deg To rad Converter?
deg To rad Converter uses fixed, standard conversion ratios and rounds the displayed result. The underlying math does not change, so the same input always gives the same output.
Can I embed deg To rad Converter on my own website?
Yes. Use the "Embed this tool" snippet on this page to add a free, working copy of deg To rad Converter to your own blog post or page.