Convert Centiradian to Arcsecond (Second Angle)
Unit definitions
Centiradian
$\frac{1}{100}$ of a radian is a centiradian.
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 Centiradian to Arcsecond (Second Angle)
$$\text{Angle}_{\text{′′}} = \frac{6480 \cdot \text{Angle}_{\text{centiradian}}}{3.141592653589793}$$
Examples
Example 1
Convert $35.0\ \text{centiradian}$ to $\text{′′}$.
$$\text{Angle}_{\text{′′}} = \frac{6480 \cdot 35.0}{3.141592653589793}$$
$$\text{Angle}_{\text{′′}} = 72192.682186$$
$$\therefore \ 35.0\ \text{centiradian} = 72192.682186 \ \text{′′}$$
Example 2
Convert $90.0\ \text{centiradian}$ to $\text{′′}$.
$$\text{Angle}_{\text{′′}} = \frac{6480 \cdot 90.0}{3.141592653589793}$$
$$\text{Angle}_{\text{′′}} = 185638.325622$$
$$\therefore \ 90.0\ \text{centiradian} = 185638.325622 \ \text{′′}$$
Example 3
Convert $110.0\ \text{centiradian}$ to $\text{′′}$.
$$\text{Angle}_{\text{′′}} = \frac{6480 \cdot 110.0}{3.141592653589793}$$
$$\text{Angle}_{\text{′′}} = 226891.286872$$
$$\therefore \ 110.0\ \text{centiradian} = 226891.286872 \ \text{′′}$$
Example 4
Convert $150.0\ \text{centiradian}$ to $\text{′′}$.
$$\text{Angle}_{\text{′′}} = \frac{6480 \cdot 150.0}{3.141592653589793}$$
$$\text{Angle}_{\text{′′}} = 309397.209371$$
$$\therefore \ 150.0\ \text{centiradian} = 309397.209371 \ \text{′′}$$
Example 5
Convert $200.0\ \text{centiradian}$ to $\text{′′}$.
$$\text{Angle}_{\text{′′}} = \frac{6480 \cdot 200.0}{3.141592653589793}$$
$$\text{Angle}_{\text{′′}} = 412529.612494$$
$$\therefore \ 200.0\ \text{centiradian} = 412529.612494 \ \text{′′}$$
Centiradian to Arcsecond (Second Angle) conversion table
| Centiradian [centiradian] | Arcsecond (Second Angle) [′′] |
|---|---|
| 1 | 2062.648062 |
| 2 | 4125.296125 |
| 3 | 6187.944187 |
| 4 | 8250.59225 |
| 5 | 10313.240312 |
| 6 | 12375.888375 |
| 7 | 14438.536437 |
| 8 | 16501.1845 |
| 9 | 18563.832562 |
| 10 | 20626.480625 |
Convert Centiradian to other Angle units
| Centiradian [centiradian] | Other unit |
|---|---|
| 1 | 0.01 Radian [rad] |
| 1 | 0.572958 Degree [°] |
| 1 | 34.377468 Arcminute (Minute Angle) [′] |
| 1 | 0.001592 Revolution [rev] |
| 1 | 0.63662 Grade [grad] |