Gradian to Radian

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

0.015708
Formula
1 gon = 0.015708 rad

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

⚡ Instant results

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

📱 Use on any device

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

🎯 Accurate conversions

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

🎁 Always free, no signup

Free, every time. No account, no email, no “trial” 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 (⇄) above to go to the Radian → Gradian 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.

Related angle converters