How to Convert Arc Seconds to Gradians
To convert arc seconds to gradians, divide the value by 3240.
The Formula
Gradians = Arc Seconds ÷ 3240
Key Fact
1 gradian = 3240 arc seconds
Tip: To convert gradians back to arc seconds, multiply by 3240.
Arc Seconds to Gradians
Convert arc seconds (″) to gradians (grad) with formulas, examples, and conversion tables.
″
grad
1 ″ = 0.000309 grad
Full precision:0.00030864 grad
Step-by-Step Solution
To convert 1 arc seconds to gradians, we divide by 3240 because one gradian equals exactly 3240 arc seconds.
1 gradian = 3240 arc seconds
Since there are 3240 arc seconds in every gradian, we divide our value by this factor:
1 ÷ 3240 = 0.000309 gradians
So 1 arc seconds = 0.000309 gradians.
Quick check: 0.000309 × 3240 = 1 arc seconds
Example Conversions
Example 1: 1 ″ = 0.000309 grad
1 ÷ 3240 = 0.000309
1 ÷ 3240 = 0.000309
Example 2: 5 ″ = 0.001543 grad
5 ÷ 3240 = 0.001543
5 ÷ 3240 = 0.001543
Example 3: 10 ″ = 0.003086 grad
10 ÷ 3240 = 0.003086
10 ÷ 3240 = 0.003086
Arc Seconds to Gradians Table
| Arc Seconds | Gradians |
|---|---|
| 1 ″ | 0.000309 grad |
| 2 ″ | 0.000617 grad |
| 5 ″ | 0.001543 grad |
| 10 ″ | 0.003086 grad |
| 20 ″ | 0.006173 grad |
| 25 ″ | 0.007716 grad |
| 50 ″ | 0.015432 grad |
| 100 ″ | 0.030864 grad |
| 250 ″ | 0.077161 grad |
| 500 ″ | 0.15432 grad |
| 1000 ″ | 0.30864 grad |
1 Arc Second in Other Units
| Unit | 1 ″ = |
|---|---|
| Arc Seconds to Degrees | 0.00027778 ° |
| Arc Seconds to Radians | 0.00000485 rad |
| Arc Seconds to Gradians | 0.00030864 grad |
| Arc Seconds to Turns | 7.7161e-7 turn |
| Arc Seconds to Arc Minutes | 0.016667 ′ |
| Arc Seconds to Milliradians | 0.0048481 mrad |
| Arc Seconds to Revolutions | 7.7161e-7 rev |
| Arc Seconds to Quadrants | 0.00000309 quad |
| Arc Seconds to Sextants | 0.00000463 sext |