Arcseconds to Gradians (" to grad) Converter
1 arcsecond (") = 0.000308642 gradians (grad). To convert arcseconds to gradians, multiply by 0.000308642: 25 " × 0.000308642 = 0.00771605 grad.
Quick facts
- 1 " = 0.000308642 grad
- 1 grad = 3,240 "
- Formula: grad = " × 0.000308642
- Quick estimate: multiply by about 0.00031
How to convert arcseconds to gradians
- Take the value in arcseconds.
- Multiply it by 0.000308642 (the number of gradians in one arcsecond).
- Round the result to the precision you need.
Worked example: 25 " × 0.000308642 = 0.00771605 grad.
To convert gradians back to arcseconds, multiply by 3,240, or divide by 0.000308642.
Source: BIPM SI Brochure, 9th edition (the radian).
Arcseconds to Gradians conversion table
| Arcseconds ["] | Gradians [grad] |
|---|---|
| 1 " | 0.000308642 grad |
| 10 " | 0.0030864198 grad |
| 100 " | 0.0308641975 grad |
| 1000 " | 0.3086419753 grad |
| 10000 " | 3.0864197531 grad |
| 100000 " | 30.8641975309 grad |
| 1000000 " | 308.6419753086 grad |
" to grad chart from 1 to 100
- 1 " 0.000308642 grad
- 2 " 0.000617284 grad
- 3 " 0.000925926 grad
- 4 " 0.00123457 grad
- 5 " 0.00154321 grad
- 6 " 0.00185185 grad
- 7 " 0.00216049 grad
- 8 " 0.00246914 grad
- 9 " 0.00277778 grad
- 10 " 0.00308642 grad
- 11 " 0.00339506 grad
- 12 " 0.0037037 grad
- 13 " 0.00401235 grad
- 14 " 0.00432099 grad
- 15 " 0.00462963 grad
- 16 " 0.00493827 grad
- 17 " 0.00524691 grad
- 18 " 0.00555556 grad
- 19 " 0.0058642 grad
- 20 " 0.00617284 grad
- 25 " 0.00771605 grad
- 30 " 0.00925926 grad
- 35 " 0.0108025 grad
- 40 " 0.0123457 grad
- 45 " 0.0138889 grad
- 50 " 0.0154321 grad
- 55 " 0.0169753 grad
- 60 " 0.0185185 grad
- 65 " 0.0200617 grad
- 70 " 0.0216049 grad
- 75 " 0.0231481 grad
- 80 " 0.0246914 grad
- 85 " 0.0262346 grad
- 90 " 0.0277778 grad
- 95 " 0.029321 grad
- 100 " 0.0308642 grad
Gradians to Arcseconds conversion table
| Gradians [grad] | Arcseconds ["] |
|---|---|
| 0.001 grad | 3.24 " |
| 0.01 grad | 32.4 " |
| 0.1 grad | 324 " |
| 0.5 grad | 1620 " |
| 1 grad | 3240 " |
| 2 grad | 6479.9999999999 " |
| 5 grad | 16199.9999999999 " |
| 10 grad | 32399.9999999997 " |
Arcseconds vs Gradians
| Arcsecond | Gradian | |
|---|---|---|
| Symbol | " | grad |
| Equals | 1 " = 0.000308642 grad | 1 grad = 3,240 " |
What is an arcsecond?
One 60th of an arcminute, or 1/3600 of a degree. Used in astronomy for very small angular measurements, such as star positions.
What is a gradian?
One 400th of a full rotation, so a right angle is 100 gradians. Used in some surveying and European engineering contexts.
Frequently asked questions
How many gradians are in an arcsecond?
There are 0.000308642 gradians in 1 arcsecond (1 " = 0.000308642 grad).
How many arcseconds are in a gradian?
There are 3,240 arcseconds in 1 gradian (1 grad = 3240 ").
How do I convert arcseconds to gradians?
Multiply the number of arcseconds by 0.000308642. For example, 10 " × 0.000308642 = 0.00308642 grad. To convert back, multiply by 3,240.
What is 10 " in gradians?
10 " = 0.00308642 grad.
What is 100 " in gradians?
100 " = 0.0308642 grad.
Is the conversion exact?
Yes. The factor comes from the official definitions of both units (BIPM SI Brochure, 9th edition (the radian)). Results are shown to up to 10 decimal places; round them to suit your purpose.
Related conversions
Popular angle conversions
- Degrees to Radians
- Radians to Degrees
- Degrees to Gradians
- Arcminutes to Degrees
- Arcseconds to Degrees
- Degrees to Arcminutes
Convert arcseconds to other units
Convert other units to gradians
Open the full angle converter with every unit →