Convert Degree to Revolution

Degree [°]

Revolution [rev]

Unit definitions

The degree is a unit of angle commonly used in daily life. One full circle consists of $360$ degrees.

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

$$\text{Angle}_{\text{rev}} = \frac{\text{Angle}_{\text{°}}}{360}$$

Convert $45.0\ \text{°}$ to $\text{rev}$.

$$\text{Angle}_{\text{rev}} = \frac{45.0}{360}$$

$$\text{Angle}_{\text{rev}} = 0.125$$

$$\therefore \ 45.0\ \text{°} = 0.125 \ \text{rev}$$

Convert $85.0\ \text{°}$ to $\text{rev}$.

$$\text{Angle}_{\text{rev}} = \frac{85.0}{360}$$

$$\text{Angle}_{\text{rev}} = 0.236111$$

$$\therefore \ 85.0\ \text{°} = 0.236111 \ \text{rev}$$

Convert $115.0\ \text{°}$ to $\text{rev}$.

$$\text{Angle}_{\text{rev}} = \frac{115.0}{360}$$

$$\text{Angle}_{\text{rev}} = 0.319444$$

$$\therefore \ 115.0\ \text{°} = 0.319444 \ \text{rev}$$

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

$$\text{Angle}_{\text{rev}} = \frac{130.0}{360}$$

$$\text{Angle}_{\text{rev}} = 0.361111$$

$$\therefore \ 130.0\ \text{°} = 0.361111 \ \text{rev}$$

Convert $180.0\ \text{°}$ to $\text{rev}$.

$$\text{Angle}_{\text{rev}} = \frac{180.0}{360}$$

$$\text{Angle}_{\text{rev}} = 0.5$$

$$\therefore \ 180.0\ \text{°} = 0.5 \ \text{rev}$$