gradians to arcseconds | Exact Decimal + Formula

1 Gradian = 3240 Arcsecond

One gradian equals exactly 3,240 arcseconds — a fixed ratio you can memorize. Real-world use: surveying and some european engineering fields. This page expresses those values in arcseconds, which is used for astronomical measurements of star positions and telescope resolution. Use the calculator above, then check the reference table for common values from 0.001 to 1000.

About Gradian and Arcsecond

Gradian (grad)

A gradian divides a right angle into 100 grads, so a full circle is 400 grads.

Where it's used: Surveying and some European engineering fields.

Arcsecond (arcsec)

An arcsecond is 1/3,600 of a degree.

Where it's used: Astronomical measurements of star positions and telescope resolution.

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Precision

Formula

arcsec = grad × 3240

To convert Gradian to Arcsecond, use the formula displayed above.

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Gradian to Arcsecond: Quick Reference Table

Gradian	Arcsecond (Decimal)	Fraction	Real-world equivalent
0.001 grad	3.24 arcsec	-	standard single unit scale
0.01 grad	32.4 arcsec	-	multiple unit increments
0.1 grad	324 arcsec	-	multiple unit increments
0.5 grad	1620 arcsec	-	multiple unit increments
1 grad	3240 arcsec	-	multiple unit increments
2 grad	6480 arcsec	-	multiple unit increments
5 grad	16200 arcsec	-	multiple unit increments
10 grad	32400 arcsec	-	multiple unit increments
25 grad	81000 arcsec	-	multiple unit increments
50 grad	162000 arcsec	-	multiple unit increments
100 grad	324000 arcsec	-	multiple unit increments
250 grad	810000 arcsec	-	multiple unit increments
500 grad	1620000 arcsec	-	multiple unit increments
1000 grad	3240000 arcsec	-	multiple unit increments

grad to arcsec Formula and Examples

Direct Formula arcsec = grad × 3240

Inverse Formula grad = arcsec × 0.000309

Mental Math Shortcut

Multiply the value by roughly 3240 to calculate the equivalent amount in your head.

Common Gradian to Arcsecond Calculations

5 grad = 16200 arcsec
10 grad = 32400 arcsec
50 grad = 162000 arcsec
100 grad = 324000 arcsec
500 grad = 1620000 arcsec

Precision & Practical Use

For example, 10 grad = 32400 arcsec — roughly multiple unit increments.

Results are computed to up to 9 decimal places. Round to the precision of your measuring instrument — for most angle applications, 2–3 significant figures are plenty.

How to Convert Gradian to Arcsecond

How many arcseconds are in one gradian?

One Gradian (grad) equals 3240 Arcsecond (arcsec). To convert gradians to arcseconds, multiply the gradian value by 3240.

How do I convert Gradian to Arcsecond?

Multiply your gradian value by 3240 to get the result in Arcsecond: arcsec = grad × 3240. For example, 5 grad = 16200 arcsec.

What is the formula for converting grad to arcsec?

The conversion formula is arcsec = grad × 3240. Use the calculator above for any value, and see the reference table below for common inputs from 0.001 to 1000.

Is there a quick mental estimate for grad to arcsec?