Arcseconds to Degrees (″ → °)
Formula
1 ″ = 0.0002777777777777778 °Conversion Table
| ″ | ° |
|---|---|
| 0 | 0 |
| 1.0000 | 0.00027778 |
| 2.0000 | 0.00055556 |
| 3.0000 | 0.00083333 |
| 4.0000 | 0.0011111 |
| 5.0000 | 0.0013889 |
| 6.0000 | 0.0016667 |
| 7.0000 | 0.0019444 |
| 8.0000 | 0.0022222 |
| 9.0000 | 0.0025000 |
| 10.000 | 0.0027778 |
| 11.000 | 0.0030556 |
| 12.000 | 0.0033333 |
| 13.000 | 0.0036111 |
| 14.000 | 0.0038889 |
| 15.000 | 0.0041667 |
| 16.000 | 0.0044444 |
| 17.000 | 0.0047222 |
| 18.000 | 0.0050000 |
| 19.000 | 0.0052778 |
| ″ | ° |
|---|---|
| 20.000 | 0.0055556 |
| 21.000 | 0.0058333 |
| 22.000 | 0.0061111 |
| 23.000 | 0.0063889 |
| 24.000 | 0.0066667 |
| 25.000 | 0.0069444 |
| 26.000 | 0.0072222 |
| 27.000 | 0.0075000 |
| 28.000 | 0.0077778 |
| 29.000 | 0.0080556 |
| 30.000 | 0.0083333 |
| 31.000 | 0.0086111 |
| 32.000 | 0.0088889 |
| 33.000 | 0.0091667 |
| 34.000 | 0.0094444 |
| 35.000 | 0.0097222 |
| 36.000 | 0.010000 |
| 37.000 | 0.010278 |
| 38.000 | 0.010556 |
| 39.000 | 0.010833 |
| ″ | ° |
|---|---|
| 40.000 | 0.011111 |
| 41.000 | 0.011389 |
| 42.000 | 0.011667 |
| 43.000 | 0.011944 |
| 44.000 | 0.012222 |
| 45.000 | 0.012500 |
| 46.000 | 0.012778 |
| 47.000 | 0.013056 |
| 48.000 | 0.013333 |
| 49.000 | 0.013611 |
| 50.000 | 0.013889 |
| 51.000 | 0.014167 |
| 52.000 | 0.014444 |
| 53.000 | 0.014722 |
| 54.000 | 0.015000 |
| 55.000 | 0.015278 |
| 56.000 | 0.015556 |
| 57.000 | 0.015833 |
| 58.000 | 0.016111 |
| 59.000 | 0.016389 |
| ″ | ° |
|---|---|
| 60.000 | 0.016667 |
| 61.000 | 0.016944 |
| 62.000 | 0.017222 |
| 63.000 | 0.017500 |
| 64.000 | 0.017778 |
| 65.000 | 0.018056 |
| 66.000 | 0.018333 |
| 67.000 | 0.018611 |
| 68.000 | 0.018889 |
| 69.000 | 0.019167 |
| 70.000 | 0.019444 |
| 71.000 | 0.019722 |
| 72.000 | 0.020000 |
| 73.000 | 0.020278 |
| 74.000 | 0.020556 |
| 75.000 | 0.020833 |
| 76.000 | 0.021111 |
| 77.000 | 0.021389 |
| 78.000 | 0.021667 |
| 79.000 | 0.021944 |
Arcseconds to Degrees Conversion
Converting Arcseconds (″) to Degrees (°) is a common angle conversion. 1 ″ equals 0.000278 °. For example, 100 ″ is equal to 0.027778 °.
Quick Mental Math: Arcseconds to Degrees
3,600 arcseconds make 1 degree, so 7,200 arcseconds is 2 degrees.
Why is converting Arcseconds to Degrees tricky?
arcseconds 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 ″ = 0.000278 °. 5 ″ = 0.001389 °. 10 ″ = 0.002778 °. 25 ″ = 0.006944 °. 50 ″ = 0.013889 °. 100 ″ = 0.027778 °.
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 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 second, arc sec, arcsec, arseconds, degres, degreess, degreees, degre, degr. All of these refer to the Arcseconds to Degrees conversion.