Convert Radian to Degree

Radian [rad]

Degree [°]

Unit definitions

The radian is the unit of angle in the SI. A full circle is $2\pi$ radians, where $\pi$ is approximately $3.141\,592\,653\,589\,793$.

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

$$\text{Angle}_{\text{°}} = \frac{\text{Angle}_{\text{rad}}}{3.141592653589793} \cdot 180$$

Convert $25.0\ \text{rad}$ to $\text{°}$.

$$\text{Angle}_{\text{°}} = \frac{25.0}{3.141592653589793} \cdot 180$$

$$\text{Angle}_{\text{°}} = 1432.394488$$

$$\therefore \ 25.0\ \text{rad} = 1432.394488 \ \text{°}$$

Convert $80.0\ \text{rad}$ to $\text{°}$.

$$\text{Angle}_{\text{°}} = \frac{80.0}{3.141592653589793} \cdot 180$$

$$\text{Angle}_{\text{°}} = 4583.662361$$

$$\therefore \ 80.0\ \text{rad} = 4583.662361 \ \text{°}$$

Convert $100.0\ \text{rad}$ to $\text{°}$.

$$\text{Angle}_{\text{°}} = \frac{100.0}{3.141592653589793} \cdot 180$$

$$\text{Angle}_{\text{°}} = 5729.577951$$

$$\therefore \ 100.0\ \text{rad} = 5729.577951 \ \text{°}$$

Convert $145.0\ \text{rad}$ to $\text{°}$.

$$\text{Angle}_{\text{°}} = \frac{145.0}{3.141592653589793} \cdot 180$$

$$\text{Angle}_{\text{°}} = 8307.888029$$

$$\therefore \ 145.0\ \text{rad} = 8307.888029 \ \text{°}$$

Convert $165.0\ \text{rad}$ to $\text{°}$.

$$\text{Angle}_{\text{°}} = \frac{165.0}{3.141592653589793} \cdot 180$$

$$\text{Angle}_{\text{°}} = 9453.80362$$

$$\therefore \ 165.0\ \text{rad} = 9453.80362 \ \text{°}$$