Convert Arcminute (Minute Angle) to Grade
Unit definitions
Arcminute (Minute Angle)
$\frac{1}{60}$ of a degree is an arcminute.
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 Arcminute (Minute Angle) to Grade
$$\text{Angle}_{\text{grad}} = \frac{\text{Angle}_{\text{′}}}{54}$$
Examples
Example 1
Convert $40.0\ \text{′}$ to $\text{grad}$.
$$\text{Angle}_{\text{grad}} = \frac{40.0}{54}$$
$$\text{Angle}_{\text{grad}} = 0.740741$$
$$\therefore \ 40.0\ \text{′} = 0.740741 \ \text{grad}$$
Example 2
Convert $85.0\ \text{′}$ to $\text{grad}$.
$$\text{Angle}_{\text{grad}} = \frac{85.0}{54}$$
$$\text{Angle}_{\text{grad}} = 1.574074$$
$$\therefore \ 85.0\ \text{′} = 1.574074 \ \text{grad}$$
Example 3
Convert $115.0\ \text{′}$ to $\text{grad}$.
$$\text{Angle}_{\text{grad}} = \frac{115.0}{54}$$
$$\text{Angle}_{\text{grad}} = 2.12963$$
$$\therefore \ 115.0\ \text{′} = 2.12963 \ \text{grad}$$
Example 4
Convert $145.0\ \text{′}$ to $\text{grad}$.
$$\text{Angle}_{\text{grad}} = \frac{145.0}{54}$$
$$\text{Angle}_{\text{grad}} = 2.685185$$
$$\therefore \ 145.0\ \text{′} = 2.685185 \ \text{grad}$$
Example 5
Convert $180.0\ \text{′}$ to $\text{grad}$.
$$\text{Angle}_{\text{grad}} = \frac{180.0}{54}$$
$$\text{Angle}_{\text{grad}} = 3.333333$$
$$\therefore \ 180.0\ \text{′} = 3.333333 \ \text{grad}$$
Arcminute (Minute Angle) to Grade conversion table
Convert Arcminute (Minute Angle) to other Angle units
| Arcminute (Minute Angle) [′] | Other unit |
|---|---|
| 1 | 0.000291 Radian [rad] |
| 1 | 0.016667 Degree [°] |
| 1 | 6E+1 Arcsecond (Second Angle) [′′] |
| 1 | 0.000046 Revolution [rev] |
| 1 | 0.029089 Centiradian [centiradian] |