How do you convert arcminutes to gradians?

Divide the arcminutes by 54 to get gradians. The full relationship is: 60 arcminutes = 1 degree, and 1 degree = 10/9 gradians, so 1 arcminute = (10/9) ÷ 60 = 1/54 gradian.

What is a gradian (gon)?

A gradian (also called gon or grad) is an angle unit where a full circle equals 400 gradians. It divides a right angle into exactly 100 gradians, which makes decimal arithmetic convenient in surveying.

How many gradians equal one arcminute?

One arcminute equals 1/54 of a gradian, which is approximately 0.018519 gradians. Conversely, one gradian equals 54 arcminutes.

Why is the gradian system used in surveying?

Gradians divide a right angle into exactly 100 units, making slope percentages and decimal angle arithmetic straightforward. It is the standard in many European surveying instruments and software.

What is the difference between a degree and a gradian?

A full circle has 360 degrees or 400 gradians. One degree equals 10/9 gradians (about 1.1111 gon). One gradian equals 0.9 degrees.

What is the difference between an arcminute and a minute of arc?

They are the same unit. "Arcminute," "minute of arc," and "MOA" all refer to 1/60 of a degree.

Arcminutes to Gradians Converter

Name: Arcminutes to Gradians Converter
Availability: InStock
Author: Nham Vu

Enter a value in arcminutes and instantly get the equivalent gradians (gon), degrees, and radians.

Arcminutes to Gradians

Arcminutes (′)

Gradians / Gon (g)

Formula: gradians = arcminutes × (10/9) ÷ 60 = arcminutes ÷ 54

Gradians (Gon)

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Also in Degrees (°)

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Also in Radians (rad)

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Quick Reference

Arcminutes	Gradians
1′	0.018519g
54′	1g
60′	1.11111g
270′	5g
5,400′	100g
21,600′	400g

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Summary

Enter a value in arcminutes and instantly get the equivalent gradians (gon), degrees, and radians.

How it works

Enter a value in arcminutes in the input field.
The equivalent gradians (gon) appear instantly below.
Degrees and radians equivalents are also shown for reference.
Use the swap button to convert from gradians back to arcminutes.
Click the copy icon next to any result to copy it to your clipboard.

Use cases

Convert surveying angle measurements from arcminutes to the gradian system used in civil engineering.
Work with European surveying instruments that output angles in gradians.
Convert celestial coordinate data expressed in arcminutes to grads for gradient-based calculations.
Cross-check angle conversions between arcminute-based navigation data and gradian-based maps.
Learn the relationship between the sexagesimal (degree) and centesimal (gradian) angle systems.
Verify angle calculations in geodesy or land surveying projects that mix unit systems.

Frequently Asked Questions

Last updated: 2026-07-01 · Reviewed by Nham Vu