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 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

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]