gradians to arc-minutes
Convert gradian to arc-minute — instant, free, with the formula shown.
1 gon=54 ′
How to convert gradian to arc-minute
To convert gradian to arc-minute, multiply by 54:
′ = gon × 54
For example, 10 gon × 54 = 540 ′.
gon to ′ conversion table
| gradians (gon) | arc-minutes (′) |
|---|---|
| 1 gon | 54 ′ |
| 2 gon | 108 ′ |
| 5 gon | 270 ′ |
| 10 gon | 540 ′ |
| 25 gon | 1350 ′ |
| 50 gon | 2700 ′ |
| 100 gon | 5400 ′ |
| 250 gon | 13500 ′ |
| 500 gon | 27000 ′ |
| 1000 gon | 54000 ′ |
Other gradian conversions
Convert to arc-minute from another unit
gon to ′ — frequently asked
How many arc-minutes are in 1 gradian?
1 gradian = 54 arc-minutes (gon × 54 = ′).
What is the formula to convert gradian to arc-minute?
Multiply your gradian value by 54 to get arc-minute.
How do I convert 10 gradians to arc-minutes?
10 gon = 540 ′. For 100 gon the answer is 5400 ′. Use the calculator on this page for any other value.
When to convert gradian to arc-minute
1Mathematics and trigonometry (radians)
2Surveying and navigation (degrees, minutes, seconds)
3Engineering (mrad for laser sights, optics)
4Astronomy (arc-seconds for stellar parallax)
Angle conversion — common questions
Why are radians used in math instead of degrees?
Because in radians, derivatives and series of trig functions take their simplest form (d/dx sin(x) = cos(x) only when x is in radians).
How many degrees in 1 radian?
1 rad = 180/π ≈ 57.2958°.
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