Convert Radian to Arcminute (Minute Angle)

Radian [rad]

Arcminute (Minute Angle) [′]

Unit definitions

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

$\frac{1}{60}$ of a degree is an arcminute.

$$\text{Angle}_{\text{′}} = \frac{\text{Angle}_{\text{rad}}}{3.141592653589793} \cdot 10800$$

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

$$\text{Angle}_{\text{′}} = \frac{25.0}{3.141592653589793} \cdot 10800$$

$$\text{Angle}_{\text{′}} = 85943.66927$$

$$\therefore \ 25.0\ \text{rad} = 85943.66927 \ \text{′}$$

Convert $65.0\ \text{rad}$ to $\text{′}$.

$$\text{Angle}_{\text{′}} = \frac{65.0}{3.141592653589793} \cdot 10800$$

$$\text{Angle}_{\text{′}} = 223453.540101$$

$$\therefore \ 65.0\ \text{rad} = 223453.540101 \ \text{′}$$

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

$$\text{Angle}_{\text{′}} = \frac{110.0}{3.141592653589793} \cdot 10800$$

$$\text{Angle}_{\text{′}} = 378152.144786$$

$$\therefore \ 110.0\ \text{rad} = 378152.144786 \ \text{′}$$

Convert $140.0\ \text{rad}$ to $\text{′}$.

$$\text{Angle}_{\text{′}} = \frac{140.0}{3.141592653589793} \cdot 10800$$

$$\text{Angle}_{\text{′}} = 481284.54791$$

$$\therefore \ 140.0\ \text{rad} = 481284.54791 \ \text{′}$$

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

$$\text{Angle}_{\text{′}} = \frac{160.0}{3.141592653589793} \cdot 10800$$

$$\text{Angle}_{\text{′}} = 550039.483326$$

$$\therefore \ 160.0\ \text{rad} = 550039.483326 \ \text{′}$$