Convert Degrees to Seconds Of Arc

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

Results in Seconds Of Arc:
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1° = 3,600 arcsec

How to Convert Degrees to Seconds Of Arc

Protractors are often used to measure angle

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

seconds of arc = degrees × 3,600

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

For example, here's how to convert 5 degrees to seconds of arc using the formula above.
5° = (5 × 3,600) = 18,000"

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


A degree is a measure of angle equal to 1/360th of a revolution, or circle. 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.

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″.

Degree Measurements and Equivalent Second Of Arc Conversions

Common degree values converted to the equivalent second of arc value
Degrees Seconds Of Arc
10° 36,000"
11° 39,600"
12° 43,200"
13° 46,800"
14° 50,400"
15° 54,000"
16° 57,600"
17° 61,200"
18° 64,800"
19° 68,400"
20° 72,000"
21° 75,600"
22° 79,200"
23° 82,800"
24° 86,400"
25° 90,000"
26° 93,600"
27° 97,200"
28° 100,800"
29° 104,400"
30° 108,000"
31° 111,600"
32° 115,200"
33° 118,800"
34° 122,400"
35° 126,000"
36° 129,600"
37° 133,200"
38° 136,800"
39° 140,400"
40° 144,000"

More Degree Angle Conversions

Convert to Radians
1° is equal to 0.017453 radians
Convert to Milliradians
1° is equal to 17.453293 milliradians
Convert to Minutes Of Arc
1° is equal to 60 minutes of arc
Convert to Gradians
1° is equal to 1.111111 gradians
Convert to Revolutions
1° is equal to 0.002778 revolutions
Convert to Circles
1° is equal to 0.002778 circles
Convert to Mils (NATO)
1° is equal to 17.777778 mils (NATO)

Unit of Measurement Conversion Made Easy!

There are thousands of units of measure in use across the globe, and converting from one to another can be very difficult since each conversion requires a different formula to derive the result. Our unit of measurement conversion tools are meant to be dead easy. We break the mold of the typical dry and complicated experience. In addition to converting from one measurement to another, we provide the formula so you can see how the conversion is done, use it on you’re own calculator if you need to!

Convert units of length, weight, volume, and area between imperial and metric measures

Understanding the Metric System

The metric system makes it relatively easy to convert from one metric unit to another metric unit. The metric system uses a base unit, think meters or grams, and a prefix such as kilo or milli. The prefixes differ from the base units by differing powers of 10. So to convert within the metric system it’s usually a matter of multiplying or dividing by one of the powers of 10.

Here is a list of some of the common metric prefixes:

  • “kilo” – 1,000x larger
  • “hecto” – 100x larger
  • “deca” – 10x larger
  • “deci” – 10x smaller
  • “centi” – 100x smaller
  • “milli” – 1,000x smaller

There is a helpful mnemonic for remembering the prefixes: “King Henry Died Until Drinking Chocolate Milk.”
The u in Until refers to the base unit.