Convert Arcminute (Minute Angle) to Radian
Unit definitions
Arcminute (Minute Angle)
$\frac{1}{60}$ of a degree is an arcminute.
Radian
The radian is the unit of angle in the SI. A full circle is $2\pi$ radians, where $\pi$ is approximately $3.141\,592\,653\,589\,793$.
How to convert Arcminute (Minute Angle) to Radian
$$\text{Angle}_{\text{rad}} = \frac{\text{Angle}_{\text{′}}}{10800} \cdot 3.141592653589793$$
Examples
Example 1
Convert $25.0\ \text{′}$ to $\text{rad}$.
$$\text{Angle}_{\text{rad}} = \frac{25.0}{10800} \cdot 3.141592653589793$$
$$\text{Angle}_{\text{rad}} = 0.007272$$
$$\therefore \ 25.0\ \text{′} = 0.007272 \ \text{rad}$$
Example 2
Convert $60.0\ \text{′}$ to $\text{rad}$.
$$\text{Angle}_{\text{rad}} = \frac{60.0}{10800} \cdot 3.141592653589793$$
$$\text{Angle}_{\text{rad}} = 0.017453$$
$$\therefore \ 60.0\ \text{′} = 0.017453 \ \text{rad}$$
Example 3
Convert $115.0\ \text{′}$ to $\text{rad}$.
$$\text{Angle}_{\text{rad}} = \frac{115.0}{10800} \cdot 3.141592653589793$$
$$\text{Angle}_{\text{rad}} = 0.033452$$
$$\therefore \ 115.0\ \text{′} = 0.033452 \ \text{rad}$$
Example 4
Convert $150.0\ \text{′}$ to $\text{rad}$.
$$\text{Angle}_{\text{rad}} = \frac{150.0}{10800} \cdot 3.141592653589793$$
$$\text{Angle}_{\text{rad}} = 0.043633$$
$$\therefore \ 150.0\ \text{′} = 0.043633 \ \text{rad}$$
Example 5
Convert $160.0\ \text{′}$ to $\text{rad}$.
$$\text{Angle}_{\text{rad}} = \frac{160.0}{10800} \cdot 3.141592653589793$$
$$\text{Angle}_{\text{rad}} = 0.046542$$
$$\therefore \ 160.0\ \text{′} = 0.046542 \ \text{rad}$$
Arcminute (Minute Angle) to Radian conversion table
Convert Arcminute (Minute Angle) to other Angle units
| Arcminute (Minute Angle) [′] | Other unit |
|---|---|
| 1 | 0.016667 Degree [°] |
| 1 | 6E+1 Arcsecond (Second Angle) [′′] |
| 1 | 0.000046 Revolution [rev] |
| 1 | 0.029089 Centiradian [centiradian] |
| 1 | 0.018519 Grade [grad] |