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

Measuring + conversion tools

Amazon affiliate
Digital tape measure (dual scale)
Shop on Amazon
Kitchen scale (grams + oz)
Shop on Amazon
Digital caliper 6-inch
Shop on Amazon

As an Amazon Associate we may earn from qualifying purchases. This does not add cost for you.

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