Convert Arcsecond (Second Angle) to Degree
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.
Degree
The degree is a unit of angle commonly used in daily life. One full circle consists of $360$ degrees.
How to convert Arcsecond (Second Angle) to Degree
$$\text{Angle}_{\text{°}} = \frac{\text{Angle}_{\text{′′}}}{3600}$$
Examples
Example 1
Convert $20.0\ \text{′′}$ to $\text{°}$.
$$\text{Angle}_{\text{°}} = \frac{20.0}{3600}$$
$$\text{Angle}_{\text{°}} = 0.005556$$
$$\therefore \ 20.0\ \text{′′} = 0.005556 \ \text{°}$$
Example 2
Convert $70.0\ \text{′′}$ to $\text{°}$.
$$\text{Angle}_{\text{°}} = \frac{70.0}{3600}$$
$$\text{Angle}_{\text{°}} = 0.019444$$
$$\therefore \ 70.0\ \text{′′} = 0.019444 \ \text{°}$$
Example 3
Convert $115.0\ \text{′′}$ to $\text{°}$.
$$\text{Angle}_{\text{°}} = \frac{115.0}{3600}$$
$$\text{Angle}_{\text{°}} = 0.031944$$
$$\therefore \ 115.0\ \text{′′} = 0.031944 \ \text{°}$$
Example 4
Convert $140.0\ \text{′′}$ to $\text{°}$.
$$\text{Angle}_{\text{°}} = \frac{140.0}{3600}$$
$$\text{Angle}_{\text{°}} = 0.038889$$
$$\therefore \ 140.0\ \text{′′} = 0.038889 \ \text{°}$$
Example 5
Convert $185.0\ \text{′′}$ to $\text{°}$.
$$\text{Angle}_{\text{°}} = \frac{185.0}{3600}$$
$$\text{Angle}_{\text{°}} = 0.051389$$
$$\therefore \ 185.0\ \text{′′} = 0.051389 \ \text{°}$$
Arcsecond (Second Angle) to Degree conversion table
Convert Arcsecond (Second Angle) to other Angle units
| Arcsecond (Second Angle) [′′] | Other unit |
|---|---|
| 1 | 0.000005 Radian [rad] |
| 1 | 0.016667 Arcminute (Minute Angle) [′] |
| 1 | 0.000001 Revolution [rev] |
| 1 | 0.000485 Centiradian [centiradian] |
| 1 | 0.000309 Grade [grad] |