Time & Angles

Arcseconds to Gradians

Convert arcseconds to gradians instantly. 1 ″ = 0.000308642 grad. Includes the exact factor, a conversion table of common values and the definition of both units.

Gradians
One step, one exact factorArcsecondswhat you have× 0.000308642Gradianswhat you getBoth units are defined against the same base unit, so the factor is exact — never an approximation.

How to convert arcseconds to gradians

To convert arcseconds to gradians, divide by 3,240 (multiply by 0.000308642). The relationship is fixed, so the same factor works for any quantity — there is nothing to look up and nothing that changes with temperature, location or context.

grad = ″ × 0.000308642

Arcseconds to Gradians conversion table

The values people look up most often, rounded for reading. Use the calculator above for anything in between.

ArcsecondsGradians
1 ″0.0003086 grad
2 ″0.0006173 grad
3 ″0.0009259 grad
5 ″0.001543 grad
10 ″0.003086 grad
20 ″0.006173 grad
25 ″0.007716 grad
50 ″0.015432 grad
100 ″0.030864 grad
500 ″0.154321 grad
1,000 ″0.308642 grad

What is a arcsecond?

A 60th of an arcminute, the unit of astronomical precision.

What is a gradian?

A 400th of a circle, used in some surveying.

The formula

grad = ″ × 0.000308642

Every result on this page comes from this formula. Nothing is rounded until the final display, so figures match a spreadsheet to the cent.

How to use the Arcseconds to Gradians

  1. Type the number of arcseconds you want to convert.
  2. Read the result in gradians straight away — there is no button to press.
  3. Check the table below for the values that come up most often, or reverse the conversion with the linked gradians to arcseconds page.

Arcseconds to Gradians — frequently asked questions

How many gradians are in a arcsecond?

One arcsecond equals 0.000308642 grad. grad = ″ × 0.000308642

What is the formula to convert arcseconds to gradians?

The formula is grad = ″ × 0.000308642. It is an exact definition rather than an approximation, so the conversion never drifts no matter how large the number.

How do I convert gradians back to arcseconds?

Divide instead of multiplying: one gradian is 3,240 ″. The reverse converter is linked in the related tools list.

Is this conversion exact?

Yes. Both units are defined against the same base unit by international agreement, so the factor is exact — any rounding you see is only in the display, which you can widen by entering more decimal places.

Is this arcseconds to gradians free to use?

Yes. Every calculator on the site is free, needs no sign-up, and runs entirely in your browser, so your figures never leave your device.

What people search for

This page answers each of these searches. They are the exact phrases visitors use to find the arcseconds to gradians.

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About this calculator

Written and reviewed by The Samsung Calculator editorial team. Every calculator is written against a published formula, reviewed against at least one independent reference implementation, and dated when it changes.

Last reviewed August 19, 2026 · Calculation runs client-side · No data collected · Report an error