Convert Grade to Centiradian

Grade [grad]

Centiradian [centiradian]

Unit definitions

A grade is defined as $\frac{1}{400}$ of a revolution. It is also known as the gon or the gradian.

$\frac{1}{100}$ of a radian is a centiradian.

$$\text{Angle}_{\text{centiradian}} = \frac{\text{Angle}_{\text{grad}}}{2} \cdot 3.141592653589793$$

Convert $35.0\ \text{grad}$ to $\text{centiradian}$.

$$\text{Angle}_{\text{centiradian}} = \frac{35.0}{2} \cdot 3.141592653589793$$

$$\text{Angle}_{\text{centiradian}} = 54.977871$$

$$\therefore \ 35.0\ \text{grad} = 54.977871 \ \text{centiradian}$$

Convert $60.0\ \text{grad}$ to $\text{centiradian}$.

$$\text{Angle}_{\text{centiradian}} = \frac{60.0}{2} \cdot 3.141592653589793$$

$$\text{Angle}_{\text{centiradian}} = 94.24778$$

$$\therefore \ 60.0\ \text{grad} = 94.24778 \ \text{centiradian}$$

Convert $105.0\ \text{grad}$ to $\text{centiradian}$.

$$\text{Angle}_{\text{centiradian}} = \frac{105.0}{2} \cdot 3.141592653589793$$

$$\text{Angle}_{\text{centiradian}} = 164.933614$$

$$\therefore \ 105.0\ \text{grad} = 164.933614 \ \text{centiradian}$$

Convert $130.0\ \text{grad}$ to $\text{centiradian}$.

$$\text{Angle}_{\text{centiradian}} = \frac{130.0}{2} \cdot 3.141592653589793$$

$$\text{Angle}_{\text{centiradian}} = 204.203522$$

$$\therefore \ 130.0\ \text{grad} = 204.203522 \ \text{centiradian}$$

Convert $180.0\ \text{grad}$ to $\text{centiradian}$.

$$\text{Angle}_{\text{centiradian}} = \frac{180.0}{2} \cdot 3.141592653589793$$

$$\text{Angle}_{\text{centiradian}} = 282.743339$$

$$\therefore \ 180.0\ \text{grad} = 282.743339 \ \text{centiradian}$$