Convert Arcsecond (Second Angle) to Arcminute (Minute Angle)

Unit definitions

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.

Arcminute (Minute Angle)

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

How to convert Arcsecond (Second Angle) to Arcminute (Minute Angle)

$$\text{Angle}_{\text{′}} = \frac{\text{Angle}_{\text{′′}}}{60}$$

Examples

Example 1

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

$$\text{Angle}_{\text{′}} = \frac{25.0}{60}$$

$$\text{Angle}_{\text{′}} = 0.416667$$

$$\therefore \ 25.0\ \text{′′} = 0.416667 \ \text{′}$$

Example 2

Convert $60.0\ \text{′′}$ to $\text{′}$.

$$\text{Angle}_{\text{′}} = \frac{60.0}{60}$$

$$\text{Angle}_{\text{′}} = 1$$

$$\therefore \ 60.0\ \text{′′} = 1 \ \text{′}$$

Example 3

Convert $105.0\ \text{′′}$ to $\text{′}$.

$$\text{Angle}_{\text{′}} = \frac{105.0}{60}$$

$$\text{Angle}_{\text{′}} = 1.75$$

$$\therefore \ 105.0\ \text{′′} = 1.75 \ \text{′}$$

Example 4

Convert $130.0\ \text{′′}$ to $\text{′}$.

$$\text{Angle}_{\text{′}} = \frac{130.0}{60}$$

$$\text{Angle}_{\text{′}} = 2.166667$$

$$\therefore \ 130.0\ \text{′′} = 2.166667 \ \text{′}$$

Example 5

Convert $185.0\ \text{′′}$ to $\text{′}$.

$$\text{Angle}_{\text{′}} = \frac{185.0}{60}$$

$$\text{Angle}_{\text{′}} = 3.083333$$

$$\therefore \ 185.0\ \text{′′} = 3.083333 \ \text{′}$$

Arcsecond (Second Angle) to Arcminute (Minute Angle) conversion table

Arcsecond (Second Angle) to Arcminute (Minute Angle) conversion table
Arcsecond (Second Angle) [′′] Arcminute (Minute Angle) [′]
1 0.016667
2 0.033333
3 0.05
4 0.066667
5 0.083333
6 0.1
7 0.116667
8 0.133333
9 0.15
10 0.166667

Convert Arcsecond (Second Angle) to other Angle units

Convert Arcsecond (Second Angle) to other Angle units
Arcsecond (Second Angle) [′′] Other unit
1 0.000005 Radian [rad]
1 0.000278 Degree [°]
1 0.000001 Revolution [rev]
1 0.000485 Centiradian [centiradian]
1 0.000309 Grade [grad]