How do you convert arcseconds to gradians?

Divide the arcseconds by 3240 to get gradians. The full relationship is: 3600 arcseconds = 1 degree, and 1 degree = 10/9 gradians, so 1 arcsecond = (10/9) ÷ 3600 = 1/3240 gradian ≈ 0.000308642 gradians.

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 arcsecond?

One arcsecond equals 1/3240 of a gradian, which is approximately 0.000308642 gradians. Conversely, one gradian equals 3240 arcseconds.

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 an arcsecond and a second of arc?

They are the same unit. "Arcsecond," "second of arc," and "arc second" all refer to 1/3600 of a degree, or 1/60 of an arcminute.

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.

Arcseconds to Gradians Converter

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

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

Arcseconds to Gradians

Arcseconds (″)

Gradians / Gon (g)

Formula: gradians = arcseconds × (10/9) ÷ 3600 = arcseconds ÷ 3240

Gradians (Gon)

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Also in Degrees (°)

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Also in Radians (rad)

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Quick Reference

Arcseconds	Gradians
1″	0.000309g
3,240″	1g
3,600″	1.11111g
16,200″	5g
324,000″	100g
1,296,000″	400g

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Summary

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

How it works

Enter a value in arcseconds 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 arcseconds.
Click the copy icon next to any result to copy it to your clipboard.

Use cases

Convert high-precision angular measurements from arcseconds to the gradian system used in civil engineering.
Work with European surveying instruments that output angles in gradians when your source data is in arcseconds.
Convert telescope or astrometry data expressed in arcseconds to gradians for gradient-based calculations.
Cross-check angle conversions between arcsecond-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