Convert Gradians to Arcminutes
Gradians to arcminutes is the conversion you need when an angle comes in gradians — the surveyor's unit — but you need the fine detail that arcminutes give. One gradian is exactly 54 arcminutes, so the arcminute number always comes out much larger.
Gradians to Arcminutes conversion table
| Gradians (grad) | Arcminutes (′) |
|---|---|
| 1 | 54 |
| 2 | 108 |
| 3 | 162 |
| 5 | 270 |
| 10 | 540 |
| 20 | 1,080 |
| 50 | 2,700 |
| 100 | 5,400 |
| 500 | 27,000 |
| 1,000 | 54,000 |
The formula
To convert gradians to arcminutes, multiply the number of gradians by 54:
arcminutes = gradians × 54
A worked example
Say you have 10 gradians and want it in arcminutes:
10 × 54 = 540 arcminutes
So 10 gradians is exactly 540 arcminutes.
Why the number is exact
The gradian (also called a "gon" or "grad") divides a right angle into 100 equal parts, making a full circle 400 gradians. One gradian is exactly 0.9 of a degree, and each degree splits into exactly 60 arcminutes. Multiply those clean numbers together and one gradian is exactly 54 arcminutes — an exact figure, not a rounded one. Just don't confuse the gradian with the radian: a calculator's "grad" mode is the gradian, a different unit entirely.
When you'll use it
Reading fine angles off surveying instruments or European engineering work, where gradians are common, and expressing them in the arcminutes used for precise angle detail in surveying, astronomy, and navigation.
Frequently asked questions
How many arcminutes are in a gradian?
Exactly 54 arcminutes. A gradian is 0.9 of a degree, and each degree holds 60 arcminutes, so a gradian works out to exactly 54 arcminutes.
What is an arcminute?
An arcminute is a small slice of a degree — there are 60 arcminutes in one degree. It's used when an angle needs finer detail than whole degrees, such as in surveying, astronomy, and navigation.
Is the gradians to arcminutes conversion exact?
Yes. A gradian is exactly 0.9 degrees and a degree is exactly 60 arcminutes, so one gradian is exactly 54 arcminutes — nothing is rounded.