Convert Arcminute (Minute Angle) to Arcsecond (Second Angle)
Unit definitions
Arcminute (Minute Angle)
$\frac{1}{60}$ of a degree is an arcminute.
Arcsecond (Second Angle)
$\frac{1}{3\,600}$ of a degree is an arcsecond. It is used in places where extremely precise measurements are required. It is said that the US dime is $1$ arcsecond wide from $2.3$ miles away.
How to convert Arcminute (Minute Angle) to Arcsecond (Second Angle)
$$\text{Angle}_{\text{′′}} = \text{Angle}_{\text{′}} \cdot 60$$
Examples
Example 1
Convert $50.0\ \text{′}$ to $\text{′′}$.
$$\text{Angle}_{\text{′′}} = 50.0 \cdot 60$$
$$\text{Angle}_{\text{′′}} = 3000$$
$$\therefore \ 50.0\ \text{′} = 3000 \ \text{′′}$$
Example 2
Convert $85.0\ \text{′}$ to $\text{′′}$.
$$\text{Angle}_{\text{′′}} = 85.0 \cdot 60$$
$$\text{Angle}_{\text{′′}} = 5100$$
$$\therefore \ 85.0\ \text{′} = 5100 \ \text{′′}$$
Example 3
Convert $100.0\ \text{′}$ to $\text{′′}$.
$$\text{Angle}_{\text{′′}} = 100.0 \cdot 60$$
$$\text{Angle}_{\text{′′}} = 6000$$
$$\therefore \ 100.0\ \text{′} = 6000 \ \text{′′}$$
Example 4
Convert $130.0\ \text{′}$ to $\text{′′}$.
$$\text{Angle}_{\text{′′}} = 130.0 \cdot 60$$
$$\text{Angle}_{\text{′′}} = 7800$$
$$\therefore \ 130.0\ \text{′} = 7800 \ \text{′′}$$
Example 5
Convert $195.0\ \text{′}$ to $\text{′′}$.
$$\text{Angle}_{\text{′′}} = 195.0 \cdot 60$$
$$\text{Angle}_{\text{′′}} = 11700$$
$$\therefore \ 195.0\ \text{′} = 11700 \ \text{′′}$$
Arcminute (Minute Angle) to Arcsecond (Second Angle) 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 | 0.000046 Revolution [rev] |
| 1 | 0.029089 Centiradian [centiradian] |
| 1 | 0.018519 Grade [grad] |