Arcminutes to Gradians (' to grad) Converter
1 arcminute (') = 0.0185185 gradians (grad). To convert arcminutes to gradians, multiply by 0.0185185: 25 ' × 0.0185185 = 0.462963 grad.
Quick facts
- 1 ' = 0.0185185 grad
- 1 grad = 54 '
- Formula: grad = ' × 0.0185185
- Quick estimate: multiply by about 0.019
How to convert arcminutes to gradians
- Take the value in arcminutes.
- Multiply it by 0.0185185 (the number of gradians in one arcminute).
- Round the result to the precision you need.
Worked example: 25 ' × 0.0185185 = 0.462963 grad.
To convert gradians back to arcminutes, multiply by 54, or divide by 0.0185185.
Source: BIPM SI Brochure, 9th edition (the radian).
Arcminutes to Gradians conversion table
| Arcminutes ['] | Gradians [grad] |
|---|---|
| 0.01 ' | 0.0001851852 grad |
| 0.1 ' | 0.0018518519 grad |
| 1 ' | 0.0185185185 grad |
| 2 ' | 0.037037037 grad |
| 3 ' | 0.0555555556 grad |
| 5 ' | 0.0925925926 grad |
| 10 ' | 0.1851851852 grad |
| 20 ' | 0.3703703704 grad |
| 50 ' | 0.9259259259 grad |
| 100 ' | 1.8518518519 grad |
| 1000 ' | 18.5185185185 grad |
' to grad chart from 1 to 100
- 1 ' 0.0185185 grad
- 2 ' 0.037037 grad
- 3 ' 0.0555556 grad
- 4 ' 0.0740741 grad
- 5 ' 0.0925926 grad
- 6 ' 0.111111 grad
- 7 ' 0.12963 grad
- 8 ' 0.148148 grad
- 9 ' 0.166667 grad
- 10 ' 0.185185 grad
- 11 ' 0.203704 grad
- 12 ' 0.222222 grad
- 13 ' 0.240741 grad
- 14 ' 0.259259 grad
- 15 ' 0.277778 grad
- 16 ' 0.296296 grad
- 17 ' 0.314815 grad
- 18 ' 0.333333 grad
- 19 ' 0.351852 grad
- 20 ' 0.37037 grad
- 25 ' 0.462963 grad
- 30 ' 0.555556 grad
- 35 ' 0.648148 grad
- 40 ' 0.740741 grad
- 45 ' 0.833333 grad
- 50 ' 0.925926 grad
- 55 ' 1.01852 grad
- 60 ' 1.11111 grad
- 65 ' 1.2037 grad
- 70 ' 1.2963 grad
- 75 ' 1.38889 grad
- 80 ' 1.48148 grad
- 85 ' 1.57407 grad
- 90 ' 1.66667 grad
- 95 ' 1.75926 grad
- 100 ' 1.85185 grad
Gradians to Arcminutes conversion table
| Gradians [grad] | Arcminutes ['] |
|---|---|
| 0.01 grad | 0.54 ' |
| 0.1 grad | 5.4 ' |
| 1 grad | 54 ' |
| 2 grad | 108 ' |
| 3 grad | 162 ' |
| 5 grad | 270 ' |
| 10 grad | 540 ' |
| 20 grad | 1080 ' |
| 50 grad | 2700 ' |
| 100 grad | 5400 ' |
| 1000 grad | 54000 ' |
Arcminutes vs Gradians
| Arcminute | Gradian | |
|---|---|---|
| Symbol | ' | grad |
| Equals | 1 ' = 0.0185185 grad | 1 grad = 54 ' |
What is an arcminute?
One 60th of a degree. Used in astronomy and navigation for small angles.
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 arcminute?
There are 0.0185185 gradians in 1 arcminute (1 ' = 0.0185185185 grad).
How many arcminutes are in a gradian?
There are 54 arcminutes in 1 gradian (1 grad = 54 ').
How do I convert arcminutes to gradians?
Multiply the number of arcminutes by 0.0185185. For example, 10 ' × 0.0185185 = 0.185185 grad. To convert back, multiply by 54.
What is 10 ' in gradians?
10 ' = 0.185185 grad.
What is 100 ' in gradians?
100 ' = 1.85185 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.
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