Gradians to Arcseconds (gon → ″)
Formula
1 gon = 3240 ″Conversion Table
| gon | ″ |
|---|---|
| 0 | 0 |
| 1.0000 | 3,240.0 |
| 2.0000 | 6,480.0 |
| 3.0000 | 9,720.0 |
| 4.0000 | 12,960 |
| 5.0000 | 16,200 |
| 6.0000 | 19,440 |
| 7.0000 | 22,680 |
| 8.0000 | 25,920 |
| 9.0000 | 29,160 |
| 10.000 | 32,400 |
| 11.000 | 35,640 |
| 12.000 | 38,880 |
| 13.000 | 42,120 |
| 14.000 | 45,360 |
| 15.000 | 48,600 |
| 16.000 | 51,840 |
| 17.000 | 55,080 |
| 18.000 | 58,320 |
| 19.000 | 61,560 |
| gon | ″ |
|---|---|
| 20.000 | 64,800 |
| 21.000 | 68,040 |
| 22.000 | 71,280 |
| 23.000 | 74,520 |
| 24.000 | 77,760 |
| 25.000 | 81,000 |
| 26.000 | 84,240 |
| 27.000 | 87,480 |
| 28.000 | 90,720 |
| 29.000 | 93,960 |
| 30.000 | 97,200 |
| 31.000 | 100,440 |
| 32.000 | 103,680 |
| 33.000 | 106,920 |
| 34.000 | 110,160 |
| 35.000 | 113,400 |
| 36.000 | 116,640 |
| 37.000 | 119,880 |
| 38.000 | 123,120 |
| 39.000 | 126,360 |
| gon | ″ |
|---|---|
| 40.000 | 129,600 |
| 41.000 | 132,840 |
| 42.000 | 136,080 |
| 43.000 | 139,320 |
| 44.000 | 142,560 |
| 45.000 | 145,800 |
| 46.000 | 149,040 |
| 47.000 | 152,280 |
| 48.000 | 155,520 |
| 49.000 | 158,760 |
| 50.000 | 162,000 |
| 51.000 | 165,240 |
| 52.000 | 168,480 |
| 53.000 | 171,720 |
| 54.000 | 174,960 |
| 55.000 | 178,200 |
| 56.000 | 181,440 |
| 57.000 | 184,680 |
| 58.000 | 187,920 |
| 59.000 | 191,160 |
| gon | ″ |
|---|---|
| 60.000 | 194,400 |
| 61.000 | 197,640 |
| 62.000 | 200,880 |
| 63.000 | 204,120 |
| 64.000 | 207,360 |
| 65.000 | 210,600 |
| 66.000 | 213,840 |
| 67.000 | 217,080 |
| 68.000 | 220,320 |
| 69.000 | 223,560 |
| 70.000 | 226,800 |
| 71.000 | 230,040 |
| 72.000 | 233,280 |
| 73.000 | 236,520 |
| 74.000 | 239,760 |
| 75.000 | 243,000 |
| 76.000 | 246,240 |
| 77.000 | 249,480 |
| 78.000 | 252,720 |
| 79.000 | 255,960 |
Gradians to Arcseconds Conversion
Converting Gradians (gon) to Arcseconds (″) is a common angle conversion. 1 gon equals 3,240 ″. For example, 100 gon is equal to 324,000 ″.
Quick Mental Math: Gradians to Arcseconds
1 gradian is 3240 arcseconds, so scale from that anchor.
Why is converting Gradians to Arcseconds tricky?
gradians and arcseconds split one full turn into different counts, so people often flip the ratio and divide when they should multiply.
Quick Reference Values
1 gon = 3,240 ″. 5 gon = 16,200 ″. 10 gon = 32,400 ″. 25 gon = 81,000 ″. 50 gon = 162,000 ″. 100 gon = 324,000 ″.
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].
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].
Common Misspellings
People often search for this conversion using these alternate spellings: gradian, graden, gradian, arc second, arc sec, arcsec, arseconds. All of these refer to the Gradians to Arcseconds conversion.