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## Example Conversion

Let's take a look at an example. The step-by-step process to convert 6 gradians to radians is:

2. Substitute the required value. In this case we substitute 6 for grad so the formula becomes: rad = 6 × 0.0157079633
3. Calculate the result using the provided values. In our example the result is: 6 × 0.0157079633 = 0.0942477798 rad

## Conversion Unit Definitions

The gradian is a unit of measure for angles, which is used to quantify the size of an angle. One gradian is defined as 1/400th of a full rotation, which is a complete revolution around a circle.
To better understand this definition, it's important to note that a circle has 400 gradians. Therefore, an angle that spans one quarter of a circle (i.e., 100 gradians) is a right angle, while an angle that spans half a circle (i.e., 200 gradians) is a straight angle.
Gradians can be converted to degrees using the following formula: degrees = (gradians/400) x 360. Similarly, degrees can be converted to gradians using the formula: gradians = (degrees/360) x 400.

A radian is a unit of angular measure that is used to quantify the size of an angle, particularly in trigonometry and calculus. One radian is defined as the angle subtended at the center of a circle by an arc that is equal in length to the radius of the circle.
To better understand this definition, it's important to note that a circle has a circumference of 2π times the radius, where π is the mathematical constant pi (approximately 3.14159). Therefore, an angle of one radian is subtended by an arc that is equal in length to the radius of the circle, which is one unit in length.
When measuring angles using radians, angles are usually denoted using the radian symbol (rad), which is often omitted for simplicity. For example, an angle of 2 radians would be written as 2 rad.

Below is a lookup table showing common gradians to radians conversion values.