Convert Arcminute (Minute Angle) to Centiradian
Unit definitions
Arcminute (Minute Angle)
$\frac{1}{60}$ of a degree is an arcminute.
Centiradian
$\frac{1}{100}$ of a radian is a centiradian.
How to convert Arcminute (Minute Angle) to Centiradian
$$\text{Angle}_{\text{centiradian}} = \frac{\text{Angle}_{\text{′}}}{108} \cdot 3.141592653589793$$
Examples
Example 1
Convert $45.0\ \text{′}$ to $\text{centiradian}$.
$$\text{Angle}_{\text{centiradian}} = \frac{45.0}{108} \cdot 3.141592653589793$$
$$\text{Angle}_{\text{centiradian}} = 1.308997$$
$$\therefore \ 45.0\ \text{′} = 1.308997 \ \text{centiradian}$$
Example 2
Convert $80.0\ \text{′}$ to $\text{centiradian}$.
$$\text{Angle}_{\text{centiradian}} = \frac{80.0}{108} \cdot 3.141592653589793$$
$$\text{Angle}_{\text{centiradian}} = 2.327106$$
$$\therefore \ 80.0\ \text{′} = 2.327106 \ \text{centiradian}$$
Example 3
Convert $110.0\ \text{′}$ to $\text{centiradian}$.
$$\text{Angle}_{\text{centiradian}} = \frac{110.0}{108} \cdot 3.141592653589793$$
$$\text{Angle}_{\text{centiradian}} = 3.19977$$
$$\therefore \ 110.0\ \text{′} = 3.19977 \ \text{centiradian}$$
Example 4
Convert $130.0\ \text{′}$ to $\text{centiradian}$.
$$\text{Angle}_{\text{centiradian}} = \frac{130.0}{108} \cdot 3.141592653589793$$
$$\text{Angle}_{\text{centiradian}} = 3.781547$$
$$\therefore \ 130.0\ \text{′} = 3.781547 \ \text{centiradian}$$
Example 5
Convert $175.0\ \text{′}$ to $\text{centiradian}$.
$$\text{Angle}_{\text{centiradian}} = \frac{175.0}{108} \cdot 3.141592653589793$$
$$\text{Angle}_{\text{centiradian}} = 5.090544$$
$$\therefore \ 175.0\ \text{′} = 5.090544 \ \text{centiradian}$$
Arcminute (Minute Angle) to Centiradian conversion table
Convert Arcminute (Minute Angle) to other Angle units
| Arcminute (Minute Angle) [′] | Other unit |
|---|---|
| 1 | 0.000291 Radian [rad] |
| 1 | 0.016667 Degree [°] |
| 1 | 6E+1 Arcsecond (Second Angle) [′′] |
| 1 | 0.000046 Revolution [rev] |
| 1 | 0.018519 Grade [grad] |