Convert Grade to Revolution

Grade [grad]

Revolution [rev]

Unit definitions

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

One revolution is equal to $2\pi$ radians (i.e., a full circle).

$$\text{Angle}_{\text{rev}} = \frac{\text{Angle}_{\text{grad}}}{400}$$

Convert $20.0\ \text{grad}$ to $\text{rev}$.

$$\text{Angle}_{\text{rev}} = \frac{20.0}{400}$$

$$\text{Angle}_{\text{rev}} = 0.05$$

$$\therefore \ 20.0\ \text{grad} = 0.05 \ \text{rev}$$

Convert $90.0\ \text{grad}$ to $\text{rev}$.

$$\text{Angle}_{\text{rev}} = \frac{90.0}{400}$$

$$\text{Angle}_{\text{rev}} = 0.225$$

$$\therefore \ 90.0\ \text{grad} = 0.225 \ \text{rev}$$

Convert $100.0\ \text{grad}$ to $\text{rev}$.

$$\text{Angle}_{\text{rev}} = \frac{100.0}{400}$$

$$\text{Angle}_{\text{rev}} = 0.25$$

$$\therefore \ 100.0\ \text{grad} = 0.25 \ \text{rev}$$

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

$$\text{Angle}_{\text{rev}} = \frac{130.0}{400}$$

$$\text{Angle}_{\text{rev}} = 0.325$$

$$\therefore \ 130.0\ \text{grad} = 0.325 \ \text{rev}$$

Convert $195.0\ \text{grad}$ to $\text{rev}$.

$$\text{Angle}_{\text{rev}} = \frac{195.0}{400}$$

$$\text{Angle}_{\text{rev}} = 0.4875$$

$$\therefore \ 195.0\ \text{grad} = 0.4875 \ \text{rev}$$