Arcminutes to Degrees (′ → °)
Formula
1 ′ = 0.016666666666666666 °Conversion Table
| ′ | ° |
|---|---|
| 0 | 0 |
| 1.0000 | 0.016667 |
| 2.0000 | 0.033333 |
| 3.0000 | 0.050000 |
| 4.0000 | 0.066667 |
| 5.0000 | 0.083333 |
| 6.0000 | 0.10000 |
| 7.0000 | 0.11667 |
| 8.0000 | 0.13333 |
| 9.0000 | 0.15000 |
| 10.000 | 0.16667 |
| 11.000 | 0.18333 |
| 12.000 | 0.20000 |
| 13.000 | 0.21667 |
| 14.000 | 0.23333 |
| 15.000 | 0.25000 |
| 16.000 | 0.26667 |
| 17.000 | 0.28333 |
| 18.000 | 0.30000 |
| 19.000 | 0.31667 |
| ′ | ° |
|---|---|
| 20.000 | 0.33333 |
| 21.000 | 0.35000 |
| 22.000 | 0.36667 |
| 23.000 | 0.38333 |
| 24.000 | 0.40000 |
| 25.000 | 0.41667 |
| 26.000 | 0.43333 |
| 27.000 | 0.45000 |
| 28.000 | 0.46667 |
| 29.000 | 0.48333 |
| 30.000 | 0.50000 |
| 31.000 | 0.51667 |
| 32.000 | 0.53333 |
| 33.000 | 0.55000 |
| 34.000 | 0.56667 |
| 35.000 | 0.58333 |
| 36.000 | 0.60000 |
| 37.000 | 0.61667 |
| 38.000 | 0.63333 |
| 39.000 | 0.65000 |
| ′ | ° |
|---|---|
| 40.000 | 0.66667 |
| 41.000 | 0.68333 |
| 42.000 | 0.70000 |
| 43.000 | 0.71667 |
| 44.000 | 0.73333 |
| 45.000 | 0.75000 |
| 46.000 | 0.76667 |
| 47.000 | 0.78333 |
| 48.000 | 0.80000 |
| 49.000 | 0.81667 |
| 50.000 | 0.83333 |
| 51.000 | 0.85000 |
| 52.000 | 0.86667 |
| 53.000 | 0.88333 |
| 54.000 | 0.90000 |
| 55.000 | 0.91667 |
| 56.000 | 0.93333 |
| 57.000 | 0.95000 |
| 58.000 | 0.96667 |
| 59.000 | 0.98333 |
| ′ | ° |
|---|---|
| 60.000 | 1.0000 |
| 61.000 | 1.0167 |
| 62.000 | 1.0333 |
| 63.000 | 1.0500 |
| 64.000 | 1.0667 |
| 65.000 | 1.0833 |
| 66.000 | 1.1000 |
| 67.000 | 1.1167 |
| 68.000 | 1.1333 |
| 69.000 | 1.1500 |
| 70.000 | 1.1667 |
| 71.000 | 1.1833 |
| 72.000 | 1.2000 |
| 73.000 | 1.2167 |
| 74.000 | 1.2333 |
| 75.000 | 1.2500 |
| 76.000 | 1.2667 |
| 77.000 | 1.2833 |
| 78.000 | 1.3000 |
| 79.000 | 1.3167 |
Arcminutes to Degrees Conversion
Converting Arcminutes (′) to Degrees (°) is a common angle conversion. 1 ′ equals 0.016667 °. For example, 100 ′ is equal to 1.666667 °.
Quick Mental Math: Arcminutes to Degrees
60 arcminutes make 1 degree, so 180 arcminutes is 3 degrees.
Why is converting Arcminutes to Degrees tricky?
arcminutes and degrees split one full turn into different counts, so people often flip the ratio and divide when they should multiply.
Quick Reference Values
1 ′ = 0.016667 °. 5 ′ = 0.083333 °. 10 ′ = 0.166667 °. 25 ′ = 0.416667 °. 50 ′ = 0.833333 °. 100 ′ = 1.666667 °.
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 Degrees?
Degrees (°) is a unit of angle. A degree is a unit of angular measurement defined as 1/360 of a full rotation or circle. One degree equals exactly π/180 radians, aligning with the International System of Units (SI) conventions for angles. It is commonly used in geometry, navigation, and geospatial coordinates to measure angles and directions [iso-80000]. The degree originated with the ancient Babylonians around 3000 BCE, who divided a circle into 360 parts likely based on their sexagesimal numeral system. This system was formalized over centuries and incorporated into modern angle measurement standards. The consistent division into 360 degrees became globally accepted due to its mathematical convenience and historical use [iso-80000]. Degrees are used worldwide in navigation, astronomy, cartography, and engineering. Countries including the United States, Canada, and members of the European Union employ degrees for geographic coordinates. Scientific organizations such as ISO and BIPM recognize degrees as a standard unit for angles [bipm-si-brochure].
Common Misspellings
People often search for this conversion using these alternate spellings: arc minute, arc min, arcminuteses, arcminutess, degres, degreess, degreees, degre, degr. All of these refer to the Arcminutes to Degrees conversion.