Convert Revolution to Grade

Revolution [rev]

Grade [grad]

Unit definitions

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

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

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

Convert $50.0\ \text{rev}$ to $\text{grad}$.

$$\text{Angle}_{\text{grad}} = 50.0 \cdot 400$$

$$\text{Angle}_{\text{grad}} = 20000$$

$$\therefore \ 50.0\ \text{rev} = 20000 \ \text{grad}$$

Convert $70.0\ \text{rev}$ to $\text{grad}$.

$$\text{Angle}_{\text{grad}} = 70.0 \cdot 400$$

$$\text{Angle}_{\text{grad}} = 28000$$

$$\therefore \ 70.0\ \text{rev} = 28000 \ \text{grad}$$

Convert $120.0\ \text{rev}$ to $\text{grad}$.

$$\text{Angle}_{\text{grad}} = 120.0 \cdot 400$$

$$\text{Angle}_{\text{grad}} = 48000$$

$$\therefore \ 120.0\ \text{rev} = 48000 \ \text{grad}$$

Convert $135.0\ \text{rev}$ to $\text{grad}$.

$$\text{Angle}_{\text{grad}} = 135.0 \cdot 400$$

$$\text{Angle}_{\text{grad}} = 54000$$

$$\therefore \ 135.0\ \text{rev} = 54000 \ \text{grad}$$

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

$$\text{Angle}_{\text{grad}} = 195.0 \cdot 400$$

$$\text{Angle}_{\text{grad}} = 78000$$

$$\therefore \ 195.0\ \text{rev} = 78000 \ \text{grad}$$