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.

Centiradian

$\frac{1}{100}$ of a radian is a centiradian.

How to convert Arcsecond (Second Angle) to Centiradian

$$\text{Angle}_{\text{centiradian}} = \frac{\text{Angle}_{\text{′′}}}{6480} \cdot 3.141592653589793$$

Examples

Example 1

Convert $50.0\ \text{′′}$ to $\text{centiradian}$.

$$\text{Angle}_{\text{centiradian}} = \frac{50.0}{6480} \cdot 3.141592653589793$$

$$\text{Angle}_{\text{centiradian}} = 0.024241$$

$$\therefore \ 50.0\ \text{′′} = 0.024241 \ \text{centiradian}$$

Example 2

Convert $90.0\ \text{′′}$ to $\text{centiradian}$.

$$\text{Angle}_{\text{centiradian}} = \frac{90.0}{6480} \cdot 3.141592653589793$$

$$\text{Angle}_{\text{centiradian}} = 0.043633$$

$$\therefore \ 90.0\ \text{′′} = 0.043633 \ \text{centiradian}$$

Example 3

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

$$\text{Angle}_{\text{centiradian}} = \frac{105.0}{6480} \cdot 3.141592653589793$$

$$\text{Angle}_{\text{centiradian}} = 0.050905$$

$$\therefore \ 105.0\ \text{′′} = 0.050905 \ \text{centiradian}$$

Example 4

Convert $150.0\ \text{′′}$ to $\text{centiradian}$.

$$\text{Angle}_{\text{centiradian}} = \frac{150.0}{6480} \cdot 3.141592653589793$$

$$\text{Angle}_{\text{centiradian}} = 0.072722$$

$$\therefore \ 150.0\ \text{′′} = 0.072722 \ \text{centiradian}$$

Example 5

Convert $170.0\ \text{′′}$ to $\text{centiradian}$.

$$\text{Angle}_{\text{centiradian}} = \frac{170.0}{6480} \cdot 3.141592653589793$$

$$\text{Angle}_{\text{centiradian}} = 0.082418$$

$$\therefore \ 170.0\ \text{′′} = 0.082418 \ \text{centiradian}$$

Arcsecond (Second Angle) to Centiradian conversion table

Arcsecond (Second Angle) to Centiradian conversion table

Arcsecond (Second Angle) [′′]	Centiradian [centiradian]
1	0.000485
2	0.00097
3	0.001454
4	0.001939
5	0.002424
6	0.002909
7	0.003394
8	0.003879
9	0.004363
10	0.004848

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	0.016667 Arcminute (Minute Angle) [′]
1	0.000001 Revolution [rev]
1	0.000309 Grade [grad]