Convert Radian to Gradian

One rad equals 63.66197724 gon. This converter allows you to easily convert between Radian and Gradian in real time.

Formula

rad × 63.66197724 = gon

Example: 1 rad = 63.66197724 gon

What is Radian?

The radian is the SI unit of angle, defined as the angle subtended by an arc equal in length to the radius of the circle. One radian is approximately 57.296 degrees, and a full circle is 2 pi radians. Radians are the standard angular unit in mathematics, physics, and engineering because calculus formulas (such as the derivative of sine being cosine) require radian measure. Programming language math libraries also use radians by default.

What is Gradian?

The gradian, also called the gon, was introduced during the French Revolution alongside the metric system. It divides a right angle into 100 gradians, making a full circle 400 gradians. This unit is primarily used in surveying, especially in France and Germany, where survey instruments may be graduated in gradians. The advantage is that a right angle is exactly 100, simplifying slope calculations. One gradian equals 0.9 degrees.