Convert Gradian to Arcsecond
Convert gradians to arcseconds by entering a value below.
How to Convert Gradians to Arcseconds
The gradian and arcsecond are both units of angle. 1 gradian equals 3239.9999974 arcseconds. This means to convert gradians to arcseconds, you multiply by 3239.9999974.
Formula
Step-by-Step Example
Convert 5 grad to arcseconds:
We need to convert gradians to arcseconds
Since 1 grad = 3239.9999974 ″, multiply by 3239.9999974
5 × 3239.9999974 = 16199.999987
5 grad = 16199.999987 ″
Gradian to Arcsecond Conversion Table
Quick reference table for common gradian to arcsecond conversions. Click any value for detailed calculation.
| Gradians (grad) | Arcseconds (″) |
|---|---|
| 0.1 grad | 323.99999974 ″ |
| 0.5 grad | 1619.9999987 ″ |
| 1 grad | 3239.9999974 ″ |
| 2 grad | 6479.9999948 ″ |
| 5 grad | 16199.999987 ″ |
| 10 grad | 32399.999974 ″ |
| 25 grad | 80999.999935 ″ |
| 50 grad | 161999.99987 ″ |
| 100 grad | 323999.99974 ″ |
About These Units
Gradian (grad)
A gradian (grad, gon, or grade) is 1/400 of a full rotation, making a right angle exactly 100 gradians. Gradians simplify surveying calculations and are used in some European countries. Also called "metric degrees." A full circle is 400 gradians.
Arcsecond (″)
An arcsecond (″) is 1/60 of an arcminute or 1/3600 of a degree. Arcseconds measure stellar positions, telescope resolution, and atmospheric seeing. The Hubble Space Telescope resolves about 0.05 arcseconds. GPS accuracy is measured in arcseconds.
Frequently Asked Questions
How do I convert gradians to arcseconds?
To convert gradians to arcseconds, multiply the value by 3239.9999974. For example, 10 grad = 32399.999974 ″.
How many arcseconds are in 1 gradian?
1 gradian equals 3239.9999974 arcseconds.
What is the formula for gradians to arcseconds?
The formula is: ″ = grad × 3239.9999974.