Gradians to Arcminutes (gon → ′)
Formula
1 gon = 54 ′Conversion Table
| gon | ′ |
|---|---|
| 0 | 0 |
| 1.0000 | 54.000 |
| 2.0000 | 108.00 |
| 3.0000 | 162.00 |
| 4.0000 | 216.00 |
| 5.0000 | 270.00 |
| 6.0000 | 324.00 |
| 7.0000 | 378.00 |
| 8.0000 | 432.00 |
| 9.0000 | 486.00 |
| 10.000 | 540.00 |
| 11.000 | 594.00 |
| 12.000 | 648.00 |
| 13.000 | 702.00 |
| 14.000 | 756.00 |
| 15.000 | 810.00 |
| 16.000 | 864.00 |
| 17.000 | 918.00 |
| 18.000 | 972.00 |
| 19.000 | 1,026.0 |
| gon | ′ |
|---|---|
| 20.000 | 1,080.0 |
| 21.000 | 1,134.0 |
| 22.000 | 1,188.0 |
| 23.000 | 1,242.0 |
| 24.000 | 1,296.0 |
| 25.000 | 1,350.0 |
| 26.000 | 1,404.0 |
| 27.000 | 1,458.0 |
| 28.000 | 1,512.0 |
| 29.000 | 1,566.0 |
| 30.000 | 1,620.0 |
| 31.000 | 1,674.0 |
| 32.000 | 1,728.0 |
| 33.000 | 1,782.0 |
| 34.000 | 1,836.0 |
| 35.000 | 1,890.0 |
| 36.000 | 1,944.0 |
| 37.000 | 1,998.0 |
| 38.000 | 2,052.0 |
| 39.000 | 2,106.0 |
| gon | ′ |
|---|---|
| 40.000 | 2,160.0 |
| 41.000 | 2,214.0 |
| 42.000 | 2,268.0 |
| 43.000 | 2,322.0 |
| 44.000 | 2,376.0 |
| 45.000 | 2,430.0 |
| 46.000 | 2,484.0 |
| 47.000 | 2,538.0 |
| 48.000 | 2,592.0 |
| 49.000 | 2,646.0 |
| 50.000 | 2,700.0 |
| 51.000 | 2,754.0 |
| 52.000 | 2,808.0 |
| 53.000 | 2,862.0 |
| 54.000 | 2,916.0 |
| 55.000 | 2,970.0 |
| 56.000 | 3,024.0 |
| 57.000 | 3,078.0 |
| 58.000 | 3,132.0 |
| 59.000 | 3,186.0 |
| gon | ′ |
|---|---|
| 60.000 | 3,240.0 |
| 61.000 | 3,294.0 |
| 62.000 | 3,348.0 |
| 63.000 | 3,402.0 |
| 64.000 | 3,456.0 |
| 65.000 | 3,510.0 |
| 66.000 | 3,564.0 |
| 67.000 | 3,618.0 |
| 68.000 | 3,672.0 |
| 69.000 | 3,726.0 |
| 70.000 | 3,780.0 |
| 71.000 | 3,834.0 |
| 72.000 | 3,888.0 |
| 73.000 | 3,942.0 |
| 74.000 | 3,996.0 |
| 75.000 | 4,050.0 |
| 76.000 | 4,104.0 |
| 77.000 | 4,158.0 |
| 78.000 | 4,212.0 |
| 79.000 | 4,266.0 |
Gradians to Arcminutes Conversion
Converting Gradians (gon) to Arcminutes (′) is a common angle conversion. 1 gon equals 54 ′. For example, 100 gon is equal to 5,400 ′.
Quick Mental Math: Gradians to Arcminutes
1 gradian is 54 arcminutes, so scale from that anchor.
Why is converting Gradians to Arcminutes tricky?
gradians and arcminutes split one full turn into different counts, so people often flip the ratio and divide when they should multiply.
Quick Reference Values
1 gon = 54 ′. 5 gon = 270 ′. 10 gon = 540 ′. 25 gon = 1,350 ′. 50 gon = 2,700 ′. 100 gon = 5,400 ′.
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 Arcminutes?
Arcminutes (′) is a unit of angle. An arcminute is a unit of angular measurement equal to 1/60 of one degree. It corresponds to 1/21,600 of a full circle or precisely 1/60 of a degree, where one degree equals 1/360 of a full rotation [iso-80000]. Arcminutes are used to measure small angles in astronomy and navigation. The concept of subdividing degrees into minutes dates back to ancient Babylonian astronomy and was formalized in modern angular measurement systems by international standards organizations in the 20th century [iso-80000]. Arcminutes are widely used in astronomy worldwide for specifying celestial coordinates and resolving power of telescopes. They also appear in cartography and geodesy standards internationally [nist-si-guide].
Common Misspellings
People often search for this conversion using these alternate spellings: gradian, graden, gradian, arc minute, arc min, arcminuteses, arcminutess. All of these refer to the Gradians to Arcminutes conversion.