Gradians to Arcseconds (grad to ") Converter
1 gradian (grad) = 3,240 arcseconds ("). To convert gradians to arcseconds, multiply by 3,240: 25 grad × 3,240 = 81,000 ".
Quick facts
- 1 grad = 3,240 "
- 1 " = 0.000308642 grad
- Formula: " = grad × 3,240
- Quick estimate: multiply by about 3240
How to convert gradians to arcseconds
- Take the value in gradians.
- Multiply it by 3,240 (the number of arcseconds in one gradian).
- Round the result to the precision you need.
Worked example: 25 grad × 3,240 = 81000 ".
To convert arcseconds back to gradians, multiply by 0.000308642, or divide by 3,240.
Source: BIPM SI Brochure, 9th edition (the radian).
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 " |
grad to " chart from 1 to 100
- 1 grad 3240 "
- 2 grad 6480 "
- 3 grad 9720 "
- 4 grad 12960 "
- 5 grad 16200 "
- 6 grad 19440 "
- 7 grad 22680 "
- 8 grad 25920 "
- 9 grad 29160 "
- 10 grad 32400 "
- 11 grad 35640 "
- 12 grad 38880 "
- 13 grad 42120 "
- 14 grad 45360 "
- 15 grad 48600 "
- 16 grad 51840 "
- 17 grad 55080 "
- 18 grad 58320 "
- 19 grad 61560 "
- 20 grad 64800 "
- 25 grad 81000 "
- 30 grad 97200 "
- 35 grad 113400 "
- 40 grad 129600 "
- 45 grad 145800 "
- 50 grad 162000 "
- 55 grad 178200 "
- 60 grad 194400 "
- 65 grad 210600 "
- 70 grad 226800 "
- 75 grad 243000 "
- 80 grad 259200 "
- 85 grad 275400 "
- 90 grad 291600 "
- 95 grad 307800 "
- 100 grad 324000 "
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 |
Gradians vs Arcseconds
| Gradian | Arcsecond | |
|---|---|---|
| Symbol | grad | " |
| Equals | 1 grad = 3,240 " | 1 " = 0.000308642 grad |
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.
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.
Frequently asked questions
How many arcseconds are in a gradian?
There are 3,240 arcseconds in 1 gradian (1 grad = 3240 ").
How many gradians are in an arcsecond?
There are 0.000308642 gradians in 1 arcsecond (1 " = 0.000308642 grad).
How do I convert gradians to arcseconds?
Multiply the number of gradians by 3,240. For example, 10 grad × 3,240 = 32,400 ". To convert back, multiply by 0.000308642.
What is 10 grad in arcseconds?
10 grad = 32,400 ".
What is 100 grad in arcseconds?
100 grad = 324,000 ".
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.
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