Gradian to Radian

Free instant gradian to radian converter. 1 gon = 0.015708 rad.

=โ‡„
0.015708
Formula
1 gon = 0.015708 rad

Common Gradian to Radian values

Common Gradian to Radian conversion values.
Gradian (gon)Radian (rad)
00
500.785398
1001.5708
1502.35619
2003.14159
3004.71239
4006.28319
5007.85398

How does Gradian to Radian conversion work?

Type a value in the Gradian (gon) 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.

Gradian. Also called "gon". A full circle = 400 gradians. Used in surveying.

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 Gradian to Radian?+
The formula is: 1 gon = 0.015708 rad. Type any value into the calculator above and the result appears instantly.
How do I convert Radian back to Gradian?+
Click the swap button (โ‡„) above to go to the Radian โ†’ Gradian 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.

Related angle tools

ยฐ โ†’ radrad โ†’ ยฐยฐ โ†’ gongon โ†’ ยฐrad โ†’ gonยฐ โ†’ โ€ฒ