Convert Gradians to Arcseconds
Convert Gradians to Arcseconds instantly. 1 Gradian (grad) equals 3,240 Arcseconds (″).
Gradians to Arcseconds conversion table
| Gradians (grad) | Arcseconds (″) |
|---|---|
| 1 grad | 3,240 ″ |
| 2 grad | 6,480 ″ |
| 3 grad | 9,720 ″ |
| 5 grad | 16,200 ″ |
| 10 grad | 32,400 ″ |
| 20 grad | 64,800 ″ |
| 50 grad | 162,000 ″ |
| 100 grad | 324,000 ″ |
| 500 grad | 1,620,000 ″ |
| 1,000 grad | 3,240,000 ″ |
1 Gradian = 3,240 Arcseconds · multiply Gradians by 3,240
About converting Gradians to Arcseconds
Gradians (grad) and Arcseconds (″) are both units of angle, so converting between them is a single multiplication: multiply your Gradians figure by 3,240. Ten Gradians comes to 32,400 Arcseconds, and a hundred works out at 324,000 Arcseconds.
Rule of thumb: going from Gradians to Arcseconds multiplies, so the figure always grows — one Gradian is already 3,240 Arcseconds. If your answer came out smaller, you have the conversion the wrong way round.
What is a Gradian?
The gradian — also called the gon or the grade — divides a right angle into 100 parts rather than 90. It came out of the French metrication era, an attempt to give angle the same decimal treatment that length and mass had received, and it is the one that never took. The idea is not silly: a quarter turn of 100 makes percentage-style reasoning about slope and bearing automatic. But the degree was already thousands of years entrenched and the radian had the mathematics, so the gradian was squeezed out from both sides. It survives in some European surveying, and as the third mode on scientific calculators that nobody selects deliberately.
What is an Arcsecond?
The arcsecond is a sixtieth of an arcminute, and it is where angle measurement becomes astronomy. The apparent width of a planet, the separation of a double star and the resolving power of a telescope are all quoted in arcseconds, and Earth’s atmosphere smears ground-based images to roughly an arcsecond of "seeing" — which is precisely why observatories go up mountains and telescopes go into orbit. It is a startlingly small angle: about what a coin subtends from several kilometers away. Precision optics, satellite pointing and surveying instruments all work in arcseconds or finer.
To put both in perspective: a right angle is 100 gradians, while atmospheric blur limits most ground telescopes to about one arcsecond.
The converter above updates as you type, and the table lists common values for quick reference. Need the opposite direction? Use the Arcseconds to Gradians converter, or browse all Angle converters.
Frequently asked questions
How many Arcseconds are in one Gradian?
There are 3,240 Arcseconds in one Gradian.
How do I convert Gradians to Arcseconds?
Multiply the number of Gradians by 3,240. For example, 10 Gradians = 32,400 Arcseconds.
What is 100 Gradians in Arcseconds?
100 Gradians is equal to 324,000 Arcseconds.
How do I convert Arcseconds to Gradians?
Multiply the Arcseconds value by 0.0003086 (or divide by 3,240).
Is this Gradians to Arcseconds conversion exact?
The definition is exact — Gradians and Arcseconds are both fixed against the same base by international agreement — but the decimal shown here is rounded for readability, because the true ratio does not terminate. For engineering or scientific work, carry more decimal places than this page displays.
What is a Gradian?
The gradian — also called the gon or the grade — divides a right angle into 100 parts rather than 90. It came out of the French metrication era, an attempt to give angle the same decimal treatment that length and mass had received, and it is the one that never took. The idea is not silly: a quarter turn of 100 makes percentage-style reasoning about slope and bearing automatic. But the degree was already thousands of years entrenched and the radian had the mathematics, so the gradian was squeezed out from both sides. It survives in some European surveying, and as the third mode on scientific calculators that nobody selects deliberately.
What is an Arcsecond?
The arcsecond is a sixtieth of an arcminute, and it is where angle measurement becomes astronomy. The apparent width of a planet, the separation of a double star and the resolving power of a telescope are all quoted in arcseconds, and Earth’s atmosphere smears ground-based images to roughly an arcsecond of "seeing" — which is precisely why observatories go up mountains and telescopes go into orbit. It is a startlingly small angle: about what a coin subtends from several kilometers away. Precision optics, satellite pointing and surveying instruments all work in arcseconds or finer.