Arcminutes to Gradians (′ → gon)
Formula
1 ′ = 0.018518518518518517 gonConversion Table
| ′ | gon |
|---|---|
| 0 | 0 |
| 1.0000 | 0.018519 |
| 2.0000 | 0.037037 |
| 3.0000 | 0.055556 |
| 4.0000 | 0.074074 |
| 5.0000 | 0.092593 |
| 6.0000 | 0.11111 |
| 7.0000 | 0.12963 |
| 8.0000 | 0.14815 |
| 9.0000 | 0.16667 |
| 10.000 | 0.18519 |
| 11.000 | 0.20370 |
| 12.000 | 0.22222 |
| 13.000 | 0.24074 |
| 14.000 | 0.25926 |
| 15.000 | 0.27778 |
| 16.000 | 0.29630 |
| 17.000 | 0.31481 |
| 18.000 | 0.33333 |
| 19.000 | 0.35185 |
| ′ | gon |
|---|---|
| 20.000 | 0.37037 |
| 21.000 | 0.38889 |
| 22.000 | 0.40741 |
| 23.000 | 0.42593 |
| 24.000 | 0.44444 |
| 25.000 | 0.46296 |
| 26.000 | 0.48148 |
| 27.000 | 0.50000 |
| 28.000 | 0.51852 |
| 29.000 | 0.53704 |
| 30.000 | 0.55556 |
| 31.000 | 0.57407 |
| 32.000 | 0.59259 |
| 33.000 | 0.61111 |
| 34.000 | 0.62963 |
| 35.000 | 0.64815 |
| 36.000 | 0.66667 |
| 37.000 | 0.68519 |
| 38.000 | 0.70370 |
| 39.000 | 0.72222 |
| ′ | gon |
|---|---|
| 40.000 | 0.74074 |
| 41.000 | 0.75926 |
| 42.000 | 0.77778 |
| 43.000 | 0.79630 |
| 44.000 | 0.81481 |
| 45.000 | 0.83333 |
| 46.000 | 0.85185 |
| 47.000 | 0.87037 |
| 48.000 | 0.88889 |
| 49.000 | 0.90741 |
| 50.000 | 0.92593 |
| 51.000 | 0.94444 |
| 52.000 | 0.96296 |
| 53.000 | 0.98148 |
| 54.000 | 1.0000 |
| 55.000 | 1.0185 |
| 56.000 | 1.0370 |
| 57.000 | 1.0556 |
| 58.000 | 1.0741 |
| 59.000 | 1.0926 |
| ′ | gon |
|---|---|
| 60.000 | 1.1111 |
| 61.000 | 1.1296 |
| 62.000 | 1.1481 |
| 63.000 | 1.1667 |
| 64.000 | 1.1852 |
| 65.000 | 1.2037 |
| 66.000 | 1.2222 |
| 67.000 | 1.2407 |
| 68.000 | 1.2593 |
| 69.000 | 1.2778 |
| 70.000 | 1.2963 |
| 71.000 | 1.3148 |
| 72.000 | 1.3333 |
| 73.000 | 1.3519 |
| 74.000 | 1.3704 |
| 75.000 | 1.3889 |
| 76.000 | 1.4074 |
| 77.000 | 1.4259 |
| 78.000 | 1.4444 |
| 79.000 | 1.4630 |
Arcminutes to Gradians Conversion
Converting Arcminutes (′) to Gradians (gon) is a common angle conversion. 1 ′ equals 0.018519 gon. For example, 100 ′ is equal to 1.851852 gon.
Quick Mental Math: Arcminutes to Gradians
54 arcminutes is 1 gradian, so scale from that anchor.
Why is converting Arcminutes to Gradians tricky?
arcminutes 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 ′ = 0.018519 gon. 5 ′ = 0.092593 gon. 10 ′ = 0.185185 gon. 25 ′ = 0.462963 gon. 50 ′ = 0.925926 gon. 100 ′ = 1.851852 gon.
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].
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 minute, arc min, arcminuteses, arcminutess, gradian, graden, gradian. All of these refer to the Arcminutes to Gradians conversion.