Convert Arcminutes to Gradians
Arcminutes to gradians is the conversion you need when a small angle in arcminutes has to sit alongside gradians — the unit that splits a right angle into 100 parts, common in surveying and some European engineering. One arcminute is approximately 0.018518518518518517 gradians, a repeating decimal, so the result is rounded.
Arcminutes to Gradians conversion table
| Arcminutes (′) | Gradians (grad) |
|---|---|
| 1 | 0.018519 |
| 2 | 0.037037 |
| 3 | 0.055556 |
| 5 | 0.092593 |
| 10 | 0.185185 |
| 20 | 0.37037 |
| 50 | 0.925926 |
| 100 | 1.851852 |
| 500 | 9.259259 |
| 1,000 | 18.518519 |
The formula
To convert arcminutes to gradians, multiply the number of arcminutes by 0.018518518518518517:
gradians = arcminutes × 0.018518518518518517
A worked example
Say you have 100 arcminutes and want it in gradians:
100 × 0.018518518518518517 = 1.8518519 grad
So 100 arcminutes is about 1.8518519 gradians.
Why it's an approximation
The factor 0.018518518518518517 is a repeating decimal — the pattern keeps going and never terminates. That happens because the arcminute and the gradian carve up the circle in different ways: 21,600 arcminutes versus 400 gradians per full turn, and those don't divide into each other evenly. Any decimal you write down is cut off at some point, so the conversion stays approximate. More decimals give you more precision if a job calls for it.
When you'll use it
Lining up an angle in arcminutes against survey figures given in gradians, working with European engineering drawings that use the gradian, or checking a calculation where the two units meet.
Frequently asked questions
How many gradians are in an arcminute?
About 0.018518518518518517 gradians. The digits repeat, so it's a rounded figure — you cut it off at a practical number of decimals.
How do I convert arcminutes to gradians?
Multiply the number of arcminutes by 0.018518518518518517. For example, 100 arcminutes × that factor comes to about 1.8518519 gradians.
What's the difference between a gradian and a degree?
A gradian splits a right angle into 100 parts, so a full circle is 400 gradians, while a degree splits the circle into 360. An arcminute is one 60th of a degree, which makes it a small fraction of a gradian too.