Seconds Of Arc to Degrees Conversion

Enter the angle in seconds of arc below to get the value converted to degrees.

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Results in Degrees:
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1 arcsec = 0.000278°
1 arcsec = 0° 0′ 1″

How to Convert Seconds Of Arc to Degrees

conversion scale showing seconds of arc and equivalent degrees angle values

To convert a second of arc measurement to a degree measurement, divide the angle by the conversion ratio. One degree is equal to 3,600 seconds of arc, so use this simple formula to convert:

degrees = seconds of arc ÷ 3,600

The angle in degrees is equal to the seconds of arc divided by 3,600.

For example, here's how to convert 5,000 seconds of arc to degrees using the formula above.
5,000" = (5,000 ÷ 3,600) = 1.388889°

Seconds of arc and degrees are both units used to measure angle. Keep reading to learn more about each unit of measure.

Seconds Of Arc

The second of arc is a unit of angle equal to 1/60th of one minute of arc or 1/3,600 of one degree.

A second of arc is sometimes also referred to as an arc second or arcsecond. Seconds of arc can be abbreviated as arcsec, and are also sometimes abbreviated as asec. For example, 1 second of arc can be written as 1 arcsec or 1 asec.

The second of arc is most commonly expressed using a double prime (″), though a double quote is often used as well. For example, 1 second of arc is most often written as 1″.

Degrees

A degree is a measure of angle equal to 1/360th of a revolution, or circle.[1] The number 360 has 24 divisors, making it a fairly easy number to work with. There are also 360 days in the Persian calendar year, and many theorize that early astronomers used 1 degree per day.

The degree is an SI accepted unit for angle for use with the metric system. A degree is sometimes also referred to as a degree of arc, arc degree, or arcdegree. Degrees can be abbreviated as °, and are also sometimes abbreviated as deg. For example, 1 degree can be written as 1° or 1 deg.

Degrees can also be expressed using minutes and seconds as an alternative to using the decimal form. Minutes and seconds are expressed using the prime (′) and double-prime (″) characters, although a single-quote and double-quote are often used for convenience.

One minute is equal to 1/60th of a degree and one second is equal to 1/60th of a minute.

Protractors are commonly used to measure angles in degrees. They are semi-circle or full-circle devices with degree markings allowing a user to measure an angle in degrees. Learn more about how to use a protractor or download a printable protractor.

Second Of Arc to Degree Conversion Table

Second of arc measurements converted to degrees
Seconds Of Arc Degrees
1" 0.000278°
2" 0.000556°
3" 0.000833°
4" 0.001111°
5" 0.001389°
6" 0.001667°
7" 0.001944°
8" 0.002222°
9" 0.0025°
10" 0.002778°
20" 0.005556°
30" 0.008333°
40" 0.011111°
50" 0.013889°
60" 0.016667°
70" 0.019444°
80" 0.022222°
90" 0.025°
100" 0.027778°
200" 0.055556°
300" 0.083333°
400" 0.111111°
500" 0.138889°
600" 0.166667°
700" 0.194444°
800" 0.222222°
900" 0.25°
1,000" 0.277778°
2,000" 0.555556°
3,000" 0.833333°
4,000" 1.1111°
5,000" 1.3889°
6,000" 1.6667°
7,000" 1.9444°
8,000" 2.2222°
9,000" 2.5°
10,000" 2.7778°

References

  1. Collins Dictionary, Definition of 'degree', https://www.collinsdictionary.com/us/dictionary/english/degree