Convert Arcminute to Gradian
Convert arcminutes to gradians by entering a value below.
How to Convert Arcminutes to Gradians
The arcminute and gradian are both units of angle. 1 gradian equals 53.999999999 arcminutes. This means to convert arcminutes to gradians, you divide by 53.999999999.
Formula
Step-by-Step Example
Convert 5 ′ to gradians:
We need to convert arcminutes to gradians
Since 1 grad = 53.999999999 ′, divide by 53.999999999
5 ÷ 53.999999999 = 0.0925925926
5 ′ = 0.0925925926 grad
Arcminute to Gradian Conversion Table
Quick reference table for common arcminute to gradian conversions. Click any value for detailed calculation.
| Arcminutes (′) | Gradians (grad) |
|---|---|
| 1 ′ | 0.0185185185 grad |
| 2 ′ | 0.037037037 grad |
| 5 ′ | 0.0925925926 grad |
| 10 ′ | 0.1851851852 grad |
| 15 ′ | 0.2777777778 grad |
| 20 ′ | 0.3703703704 grad |
| 25 ′ | 0.462962963 grad |
| 50 ′ | 0.9259259259 grad |
| 100 ′ | 1.8518518519 grad |
About These Units
Arcminute (′)
An arcminute (′ or MOA) is 1/60 of a degree. Arcminutes measure astronomical object sizes (Moon: ~31 arcminutes), visual acuity (normal vision resolves 1 arcminute), and rifle scope adjustments (1 MOA ≈ 1 inch at 100 yards). GPS coordinates use degrees and arcminutes.
Gradian (grad)
A gradian (grad, gon, or grade) is 1/400 of a full rotation, making a right angle exactly 100 gradians. Gradians simplify surveying calculations and are used in some European countries. Also called "metric degrees." A full circle is 400 gradians.
Frequently Asked Questions
How do I convert arcminutes to gradians?
To convert arcminutes to gradians, divide the value by 53.999999999. For example, 10 ′ = 0.1851851852 grad.
How many gradians are in 1 arcminute?
1 arcminute equals 0.0185185185 gradians.
What is the formula for arcminutes to gradians?
The formula is: grad = ′ ÷ 53.999999999.