Convert Degree to Arcsecond (Second Angle)
Unit definitions
Degree
The degree is a unit of angle commonly used in daily life. One full circle consists of $360$ degrees.
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 Degree to Arcsecond (Second Angle)
$$\text{Angle}_{\text{′′}} = \text{Angle}_{\text{°}} \cdot 3600$$
Examples
Example 1
Convert $20.0\ \text{°}$ to $\text{′′}$.
$$\text{Angle}_{\text{′′}} = 20.0 \cdot 3600$$
$$\text{Angle}_{\text{′′}} = 72000$$
$$\therefore \ 20.0\ \text{°} = 72000 \ \text{′′}$$
Example 2
Convert $70.0\ \text{°}$ to $\text{′′}$.
$$\text{Angle}_{\text{′′}} = 70.0 \cdot 3600$$
$$\text{Angle}_{\text{′′}} = 252000$$
$$\therefore \ 70.0\ \text{°} = 252000 \ \text{′′}$$
Example 3
Convert $105.0\ \text{°}$ to $\text{′′}$.
$$\text{Angle}_{\text{′′}} = 105.0 \cdot 3600$$
$$\text{Angle}_{\text{′′}} = 378000$$
$$\therefore \ 105.0\ \text{°} = 378000 \ \text{′′}$$
Example 4
Convert $150.0\ \text{°}$ to $\text{′′}$.
$$\text{Angle}_{\text{′′}} = 150.0 \cdot 3600$$
$$\text{Angle}_{\text{′′}} = 540000$$
$$\therefore \ 150.0\ \text{°} = 540000 \ \text{′′}$$
Example 5
Convert $185.0\ \text{°}$ to $\text{′′}$.
$$\text{Angle}_{\text{′′}} = 185.0 \cdot 3600$$
$$\text{Angle}_{\text{′′}} = 666000$$
$$\therefore \ 185.0\ \text{°} = 666000 \ \text{′′}$$
Degree to Arcsecond (Second Angle) conversion table
Convert Degree to other Angle units
| Degree [°] | Other unit |
|---|---|
| 1 | 0.017453 Radian [rad] |
| 1 | 6E+1 Arcminute (Minute Angle) [′] |
| 1 | 0.002778 Revolution [rev] |
| 1 | 1.745329 Centiradian [centiradian] |
| 1 | 1.111111 Grade [grad] |