Radian to Gradian

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

63.662
Formula
1 rad = 63.662 gon

Common Radian to Gradian 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 — 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 = 2π rad ≈ 6.283.

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

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No submit button — the result updates as you type. Math runs entirely in your browser, so it’s as fast as your device.

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🎯 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 (⇄) above to go to the Gradian → Radian converter, or use the inverse formula derived from the one shown.
When would I use radians instead of degrees?+
Radians are the natural unit for mathematics — sine, cosine, and most calculus formulas expect radians. Degrees are the everyday unit (you say "turn 90°", not "turn π/2 rad"). Gradians are mostly used in surveying and some European school systems.

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