Degree to Radian

Free instant degree to radian converter. 1 ยฐ = 0.0174533 rad.

=โ‡„
0.0174533
Formula
1 ยฐ = 0.0174533 rad

Common Degree to Radian values

Common Degree to Radian conversion values.
Degree (ยฐ)Radian (rad)
00
300.523599
450.785398
601.0472
901.5708
1803.14159
2704.71239
3606.28319

How does Degree to Radian conversion work?

Type a value in the Degree (ยฐ) field and the equivalent in Radian (rad) appears instantly to the right. The math uses the exact formula shown above โ€” no rounding errors, no approximations beyond standard floating-point precision. Use the swap button to flip the units and see the inverse conversion.

Degree. The most common angle unit. A full circle = 360ยฐ.

Radian. The SI angle unit, used in mathematics. A full circle = 2ฯ€ rad โ‰ˆ 6.283.

โšก Instant results

No submit button โ€” the result updates as you type. Math runs entirely in your browser, so itโ€™s as fast as your device.

๐Ÿ“ฑ Use on any device

Works in any modern browser โ€” Mac, Windows, Linux, iPhone, Android, tablets. No installation, no signup.

๐ŸŽฏ Accurate conversions

Conversion factors come from the official standard (NIST, BIPM, ISO definitions where applicable). Values are precise to standard floating-point limits.

๐ŸŽ Always free, no signup

Free, every time. No account, no email, no โ€œtrialโ€ that becomes paid. Ad-supported so you never have to pay.

Frequently asked

What is the formula for converting Degree to Radian?+
The formula is: 1 ยฐ = 0.0174533 rad. Type any value into the calculator above and the result appears instantly.
How do I convert Radian back to Degree?+
Click the swap button (โ‡„) above to go to the Radian โ†’ Degree converter, or use the inverse formula derived from the one shown.
How accurate is the conversion?+
Conversion factors used here are exact rational values from NIST SP 811 and the BIPM SI brochure (e.g. 1 ft = 0.3048 m exactly, 1 lb = 0.45359237 kg exactly). Trailing-digit differences vs hand calculation come only from binary floating-point representation, never from the conversion factor itself.
Where do these conversion factors come from?+
Length and mass factors come from the 1959 international yard-and-pound agreement; SI base units (metre, kilogram, second, kelvin) come from the 2019 BIPM redefinition; energy and pressure factors are NIST SP 811 reference values. Each editorial section above lists the specific source for that category.
When would I use radians instead of degrees?+
Radians are the natural unit for mathematics โ€” sine, cosine, and most calculus formulas expect radians. Degrees are the everyday unit (you say "turn 90ยฐ", not "turn ฯ€/2 rad"). Gradians are mostly used in surveying and some European school systems.

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