Convert Grade to Radian

Grade [grad]

Radian [rad]

Unit definitions

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

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

$$\text{Angle}_{\text{rad}} = \frac{\text{Angle}_{\text{grad}}}{200} \cdot 3.141592653589793$$

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

$$\text{Angle}_{\text{rad}} = \frac{35.0}{200} \cdot 3.141592653589793$$

$$\text{Angle}_{\text{rad}} = 0.549779$$

$$\therefore \ 35.0\ \text{grad} = 0.549779 \ \text{rad}$$

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

$$\text{Angle}_{\text{rad}} = \frac{70.0}{200} \cdot 3.141592653589793$$

$$\text{Angle}_{\text{rad}} = 1.099557$$

$$\therefore \ 70.0\ \text{grad} = 1.099557 \ \text{rad}$$

Convert $110.0\ \text{grad}$ to $\text{rad}$.

$$\text{Angle}_{\text{rad}} = \frac{110.0}{200} \cdot 3.141592653589793$$

$$\text{Angle}_{\text{rad}} = 1.727876$$

$$\therefore \ 110.0\ \text{grad} = 1.727876 \ \text{rad}$$

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

$$\text{Angle}_{\text{rad}} = \frac{130.0}{200} \cdot 3.141592653589793$$

$$\text{Angle}_{\text{rad}} = 2.042035$$

$$\therefore \ 130.0\ \text{grad} = 2.042035 \ \text{rad}$$

Convert $160.0\ \text{grad}$ to $\text{rad}$.

$$\text{Angle}_{\text{rad}} = \frac{160.0}{200} \cdot 3.141592653589793$$

$$\text{Angle}_{\text{rad}} = 2.513274$$

$$\therefore \ 160.0\ \text{grad} = 2.513274 \ \text{rad}$$