Radian to Gradian

Free instant radian to gradian converter. 1 rad = 63.662 gon.

=โ‡„
63.662
Formula
1 rad = 63.662 gon

Common Radian to Gradian values

Common Radian to Gradian conversion values.
Radian (rad)Gradian (gon)
00
0.52359933.3333
0.78539850
1.047266.6667
1.5708100
3.14159200
4.71239300
6.28319400

How does Radian to Gradian conversion work?

Type a value in the Radian (rad) field and the equivalent in Gradian (gon) 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.

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

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

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

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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.

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Frequently asked

What is the formula for converting Radian to Gradian?+
The formula is: 1 rad = 63.662 gon. Type any value into the calculator above and the result appears instantly.
How do I convert Gradian back to Radian?+
Click the swap button (โ‡„) above to go to the Gradian โ†’ Radian 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†’ ยฐgon โ†’ radยฐ โ†’ โ€ฒ