Arcseconds to Gradians (″ → gon)
Formula
1 ″ = 0.00030864197530864197 gonConversion Table
| ″ | gon |
|---|---|
| 0 | 0 |
| 1.0000 | 0.00030864 |
| 2.0000 | 0.00061728 |
| 3.0000 | 0.00092593 |
| 4.0000 | 0.0012346 |
| 5.0000 | 0.0015432 |
| 6.0000 | 0.0018519 |
| 7.0000 | 0.0021605 |
| 8.0000 | 0.0024691 |
| 9.0000 | 0.0027778 |
| 10.000 | 0.0030864 |
| 11.000 | 0.0033951 |
| 12.000 | 0.0037037 |
| 13.000 | 0.0040123 |
| 14.000 | 0.0043210 |
| 15.000 | 0.0046296 |
| 16.000 | 0.0049383 |
| 17.000 | 0.0052469 |
| 18.000 | 0.0055556 |
| 19.000 | 0.0058642 |
| ″ | gon |
|---|---|
| 20.000 | 0.0061728 |
| 21.000 | 0.0064815 |
| 22.000 | 0.0067901 |
| 23.000 | 0.0070988 |
| 24.000 | 0.0074074 |
| 25.000 | 0.0077160 |
| 26.000 | 0.0080247 |
| 27.000 | 0.0083333 |
| 28.000 | 0.0086420 |
| 29.000 | 0.0089506 |
| 30.000 | 0.0092593 |
| 31.000 | 0.0095679 |
| 32.000 | 0.0098765 |
| 33.000 | 0.010185 |
| 34.000 | 0.010494 |
| 35.000 | 0.010802 |
| 36.000 | 0.011111 |
| 37.000 | 0.011420 |
| 38.000 | 0.011728 |
| 39.000 | 0.012037 |
| ″ | gon |
|---|---|
| 40.000 | 0.012346 |
| 41.000 | 0.012654 |
| 42.000 | 0.012963 |
| 43.000 | 0.013272 |
| 44.000 | 0.013580 |
| 45.000 | 0.013889 |
| 46.000 | 0.014198 |
| 47.000 | 0.014506 |
| 48.000 | 0.014815 |
| 49.000 | 0.015123 |
| 50.000 | 0.015432 |
| 51.000 | 0.015741 |
| 52.000 | 0.016049 |
| 53.000 | 0.016358 |
| 54.000 | 0.016667 |
| 55.000 | 0.016975 |
| 56.000 | 0.017284 |
| 57.000 | 0.017593 |
| 58.000 | 0.017901 |
| 59.000 | 0.018210 |
| ″ | gon |
|---|---|
| 60.000 | 0.018519 |
| 61.000 | 0.018827 |
| 62.000 | 0.019136 |
| 63.000 | 0.019444 |
| 64.000 | 0.019753 |
| 65.000 | 0.020062 |
| 66.000 | 0.020370 |
| 67.000 | 0.020679 |
| 68.000 | 0.020988 |
| 69.000 | 0.021296 |
| 70.000 | 0.021605 |
| 71.000 | 0.021914 |
| 72.000 | 0.022222 |
| 73.000 | 0.022531 |
| 74.000 | 0.022840 |
| 75.000 | 0.023148 |
| 76.000 | 0.023457 |
| 77.000 | 0.023765 |
| 78.000 | 0.024074 |
| 79.000 | 0.024383 |
Arcseconds to Gradians Conversion
Converting Arcseconds (″) to Gradians (gon) is a common angle conversion. 1 ″ equals 0.000309 gon. For example, 100 ″ is equal to 0.030864 gon.
Quick Mental Math: Arcseconds to Gradians
3240 arcseconds is 1 gradian, so scale from that anchor.
Why is converting Arcseconds to Gradians tricky?
arcseconds and gradians split one full turn into different counts, so people often flip the ratio and divide when they should multiply.
Quick Reference Values
1 ″ = 0.000309 gon. 5 ″ = 0.001543 gon. 10 ″ = 0.003086 gon. 25 ″ = 0.007716 gon. 50 ″ = 0.015432 gon. 100 ″ = 0.030864 gon.
What is Arcseconds?
Arcseconds (″) is a unit of angle. An arcsecond is 1/60 of an arcminute or 1/3600 of one degree. This unit represents 1/1,296,000 of a full circle and is used for very precise angular measurements in astronomy and optics [iso-80000]. One arcsecond equals exactly 1/60 of an arcminute. Divisions of degrees into arcseconds originated from the sexagesimal system used by ancient astronomers and were standardized by international bodies for use in precise angular measurements [iso-80000]. Arcseconds are critical in astronomical observations for locating stars and planets with precision. Surveying and satellite navigation systems also rely on arcseconds globally [nist-si-guide].
What is Gradians?
Gradians (gon) is a unit of angle. A gradian, also called a gon, is an angular unit where one full circle equals 400 gradians. Each gradian equals 0.9 degrees or π/200 radians. This unit facilitates decimal subdivision of right angles and is defined by international standards for angular measurement [bipm-si-brochure]. Gradians were introduced in the late 18th century during the French Revolution to simplify angle calculations using a decimal system. The unit was later adopted by the ISO and BIPM as part of supplementary units to the SI [bipm-si-brochure]. Gradians are used in surveying, geodesy, and cartography, particularly in Europe, including France and Germany. They provide a convenient decimal-based alternative to degrees for precise angular measurements [nist-si-guide].
Common Misspellings
People often search for this conversion using these alternate spellings: arc second, arc sec, arcsec, arseconds, gradian, graden, gradian. All of these refer to the Arcseconds to Gradians conversion.