Gradian to Arcsecond Converter
Convert gradian to arcsecond instantly. 1 gradian = 3240.0 arcsecond.
Gradian to Arcsecond Table
| Gradian | Arcsecond |
|---|---|
| 1 grad | 3240.0 " |
| 5 grad | 16200.0 " |
| 10 grad | 32400.0 " |
| 30 grad | 97200.0 " |
| 45 grad | 145800.0 " |
| 90 grad | 291600.0 " |
| 180 grad | 583200.0 " |
| 360 grad | 1166400.0 " |
Related Conversions
Quick Answer
Formula: Arcsecond = Gradian × 3240
Multiply any gradian value by 3240 to get arcsecond.
Reverse: Gradian = Arcsecond × 0.0003086
Worked Examples
Gradian to Arcsecond Conversion Table
Common gradian values — factor: 1 grad = 3240 ″
| Gradian (grad) | Arcsecond (″) | Context |
|---|---|---|
| 1 grad | 3240 ″ | 1 grad |
| 5 grad | 1.62e+04 ″ | 5 grad |
| 10 grad | 3.24e+04 ″ | 10 grad |
| 25 grad | 8.1e+04 ″ | 22.5° |
| 50 grad | 1.62e+05 ″ | 45° |
| 100 grad | 3.24e+05 ″ | 90° right angle |
| 150 grad | 4.86e+05 ″ | 135° |
| 200 grad | 6.48e+05 ″ | 180° half circle |
| 250 grad | 8.1e+05 ″ | 225° |
| 300 grad | 9.72e+05 ″ | 270° |
| 400 grad | 1.296e+06 ″ | 360° full circle |
| 800 grad | 2.592e+06 ″ | Two circles |
| 1200 grad | 3.888e+06 ″ | Three circles |
| 2000 grad | 6.48e+06 ″ | Five circles |
| 4000 grad | 1.296e+07 ″ | Ten circles |
Mental Math Tricks
1 grad = 3240 ″. Memorize for instant estimates.
Right angle: 90° = 3.24e+05 ″.
Multiply result by 0.0003086 to recover the original grad value.
Who Uses This Conversion?
Uses gradians for land surveying in France, Sweden, and other European countries.
Applies gradians in road gradient calculations where 100 grad = right angle is convenient.
Works with national coordinate systems in countries that standardized on gradians.
Uses gradians in French topographic mapping traditions.
Applies gradians for dip and strike measurements in some European mining standards.
Uses gradians in some European military targeting and range calculation systems.
Related Conversions
Frequently Asked Questions
About Gradian and Arcsecond
Gradian (grad)
The gradian (also called gon or grade) divides a full circle into 400 equal parts, so a right angle equals exactly 100 gradians. It was introduced during the French Revolution as part of the decimal metric system reform in the 1790s.
Gradians are used primarily in surveying, civil engineering, and some European geodetic systems. The advantage: since a right angle = 100 grad, slope percentages and bearing calculations involve simple arithmetic.
Interesting fact: France briefly mandated decimal angles (gradians) in the 1790s alongside the metric system, but the gradian never achieved the same global adoption as the meter and kilogram.
Arcsecond (″)
The arcsecond (″) is 1/3600 of a degree or 1/60 of an arcminute. It is the standard unit for precise astronomical measurements, astrometry, and geodesy.
Stellar parallax — the apparent shift of nearby stars due to Earth's orbital motion — is measured in arcseconds. The parsec (parallax arcsecond) is defined as the distance at which 1 AU subtends 1 arcsecond. GPS systems achieve precision of a few centimeters, corresponding to fractions of an arcsecond.
Interesting fact: The closest star (Proxima Centauri) has a parallax of just 0.7687 arcseconds. The Hubble Space Telescope can resolve features as small as 0.05 arcseconds. Earth's polar precession moves at about 50 arcseconds per year.
About Gradian to Arcsecond Conversion
Converting gradian to arcsecond is essential in mathematics, physics, engineering, and surveying. Degrees are used in everyday contexts and navigation; radians are the standard in calculus and physics; gradians are common in European surveying. Having accurate conversions ensures correct results across disciplines.
Key reference: a right angle (90°) = 3.24e+05 ″. A full circle (360°) = 1.296e+06 ″. Reverse: 1 ″ = 0.0003086 grad. Exact factor: 1 grad = 3240 ″.
All conversions use IEEE 754 double-precision arithmetic, accurate to at least 8 significant figures.