Convert Arcsecond (Second Angle) to Grade
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.
Grade
A grade is defined as $\frac{1}{400}$ of a revolution. It is also known as the gon or the gradian.
How to convert Arcsecond (Second Angle) to Grade
$$\text{Angle}_{\text{grad}} = \frac{\text{Angle}_{\text{′′}}}{3240}$$
Examples
Example 1
Convert $50.0\ \text{′′}$ to $\text{grad}$.
$$\text{Angle}_{\text{grad}} = \frac{50.0}{3240}$$
$$\text{Angle}_{\text{grad}} = 0.015432$$
$$\therefore \ 50.0\ \text{′′} = 0.015432 \ \text{grad}$$
Example 2
Convert $65.0\ \text{′′}$ to $\text{grad}$.
$$\text{Angle}_{\text{grad}} = \frac{65.0}{3240}$$
$$\text{Angle}_{\text{grad}} = 0.020062$$
$$\therefore \ 65.0\ \text{′′} = 0.020062 \ \text{grad}$$
Example 3
Convert $120.0\ \text{′′}$ to $\text{grad}$.
$$\text{Angle}_{\text{grad}} = \frac{120.0}{3240}$$
$$\text{Angle}_{\text{grad}} = 0.037037$$
$$\therefore \ 120.0\ \text{′′} = 0.037037 \ \text{grad}$$
Example 4
Convert $130.0\ \text{′′}$ to $\text{grad}$.
$$\text{Angle}_{\text{grad}} = \frac{130.0}{3240}$$
$$\text{Angle}_{\text{grad}} = 0.040123$$
$$\therefore \ 130.0\ \text{′′} = 0.040123 \ \text{grad}$$
Example 5
Convert $190.0\ \text{′′}$ to $\text{grad}$.
$$\text{Angle}_{\text{grad}} = \frac{190.0}{3240}$$
$$\text{Angle}_{\text{grad}} = 0.058642$$
$$\therefore \ 190.0\ \text{′′} = 0.058642 \ \text{grad}$$
Arcsecond (Second Angle) to Grade conversion table
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 | 0.000485 Centiradian [centiradian] |