Convert Seconds Of Arc to Circles

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

Results in Circles:
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1 arcsec = 7.716E-7 cir

How to Convert Seconds Of Arc to Circles

Protractors are often used to measure angle

To convert a second of arc measurement to a circle measurement, multiply the angle by the conversion ratio. One second of arc is equal to 7.716E-7 circles, so use this simple formula to convert:

circles = seconds of arc × 7.716E-7

The angle in circles is equal to the seconds of arc multiplied by 7.716E-7.

For example, here's how to convert 5 seconds of arc to circles using the formula above.
5" = (5 × 7.716E-7) = 3.858E-6 cir

Seconds of arc and circles 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″.


A circle is the equivalent of 1 revolution around a circle, or 360°.

A circle is sometimes also referred to as a revolution. Circles can be abbreviated as cir, for example 1 circle can be written as 1 cir.

Second Of Arc Measurements and Equivalent Circle Conversions

Common second of arc values converted to the equivalent circle value
Seconds Of Arc Circles
1" 0.0000007716 cir
2" 0.0000015432 cir
3" 0.0000023148 cir
4" 0.0000030864 cir
5" 0.000003858 cir
6" 0.0000046296 cir
7" 0.0000054012 cir
8" 0.0000061728 cir
9" 0.0000069444 cir
10" 0.000007716 cir
11" 0.0000084877 cir
12" 0.0000092593 cir
13" 0.000010031 cir
14" 0.000010802 cir
15" 0.000011574 cir
16" 0.000012346 cir
17" 0.000013117 cir
18" 0.000013889 cir
19" 0.00001466 cir
20" 0.000015432 cir
21" 0.000016204 cir
22" 0.000016975 cir
23" 0.000017747 cir
24" 0.000018519 cir
25" 0.00001929 cir
26" 0.000020062 cir
27" 0.000020833 cir
28" 0.000021605 cir
29" 0.000022377 cir
30" 0.000023148 cir
31" 0.00002392 cir
32" 0.000024691 cir
33" 0.000025463 cir
34" 0.000026235 cir
35" 0.000027006 cir
36" 0.000027778 cir
37" 0.000028549 cir
38" 0.000029321 cir
39" 0.000030093 cir
40" 0.000030864 cir

More Second Of Arc Angle Conversions

Convert to Radians
1" is equal to 4.8481E-6 radians
Convert to Milliradians
1" is equal to 0.004848 milliradians
Convert to Degrees
1" is equal to 0.000278 degrees
Convert to Minutes Of Arc
1" is equal to 0.016667 minutes of arc
Convert to Gradians
1" is equal to 0.000309 gradians
Convert to Revolutions
1" is equal to 7.716E-7 revolutions
Convert to Mils (NATO)
1" is equal to 0.004938 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.