Convert Arcseconds to Gradians
Convert Arcseconds to Gradians instantly. 1 Arcsecond (″) equals 0.0003086 Gradians (grad).
Arcseconds to Gradians conversion table
| Arcseconds (″) | Gradians (grad) |
|---|---|
| 1 ″ | 0.0003086 grad |
| 2 ″ | 0.0006173 grad |
| 3 ″ | 0.0009259 grad |
| 5 ″ | 0.001543 grad |
| 10 ″ | 0.003086 grad |
| 20 ″ | 0.006173 grad |
| 50 ″ | 0.01543 grad |
| 100 ″ | 0.03086 grad |
| 500 ″ | 0.1543 grad |
| 1,000 ″ | 0.3086 grad |
1 Arcsecond = 0.0003086 Gradians · multiply Arcseconds by 0.0003086
About converting Arcseconds to Gradians
Arcseconds (″) and Gradians (grad) are both units of angle, so converting between them is a single multiplication: multiply your Arcseconds figure by 0.0003086. Ten Arcseconds comes to 0.003086 Gradians, and a hundred works out at 0.03086 Gradians.
Rule of thumb: going from Arcseconds to Gradians divides, so the figure always shrinks — it takes about 3,240 Arcseconds to make a single Gradian. If your answer came out bigger, you have the conversion the wrong way round.
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.
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.
To put both in perspective: atmospheric blur limits most ground telescopes to about one arcsecond, while a right angle is 100 gradians.
The converter above updates as you type, and the table lists common values for quick reference. Need the opposite direction? Use the Gradians to Arcseconds converter, or browse all Angle converters.
Frequently asked questions
How many Gradians are in one Arcsecond?
There are 0.0003086 Gradians in one Arcsecond.
How do I convert Arcseconds to Gradians?
Multiply the number of Arcseconds by 0.0003086. For example, 10 Arcseconds = 0.003086 Gradians.
What is 100 Arcseconds in Gradians?
100 Arcseconds is equal to 0.03086 Gradians.
How do I convert Gradians to Arcseconds?
Multiply the Gradians value by 3,240 (or divide by 0.0003086).
Is this Arcseconds to Gradians conversion exact?
The definition is exact — Arcseconds and Gradians 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 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.
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.