Convert Circles to Seconds Of Arc

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

Results in Seconds Of Arc:
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1 cir = 1,296,000 arcsec

How to Convert Circles to Seconds Of Arc

Protractors are often used to measure angle

To convert a circle measurement to a second of arc measurement, multiply the angle by the conversion ratio. One circle is equal to 1,296,000 seconds of arc, so use this simple formula to convert:

seconds of arc = circles × 1,296,000

The angle in seconds of arc is equal to the circles multiplied by 1,296,000.

For example, here's how to convert 5 circles to seconds of arc using the formula above.
5 cir = (5 × 1,296,000) = 6,480,000"

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


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.

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″.

Circle Measurements and Equivalent Second Of Arc Conversions

Common circle values converted to the equivalent second of arc value
Circles Seconds Of Arc
1 cir 1,296,000"
2 cir 2,592,000"
3 cir 3,888,000"
4 cir 5,184,000"
5 cir 6,480,000"
6 cir 7,776,000"
7 cir 9,072,000"
8 cir 10,368,000"
9 cir 11,664,000"
10 cir 12,960,000"
11 cir 14,256,000"
12 cir 15,552,000"
13 cir 16,848,000"
14 cir 18,144,000"
15 cir 19,440,000"
16 cir 20,736,000"
17 cir 22,032,000"
18 cir 23,328,000"
19 cir 24,624,000"
20 cir 25,920,000"
21 cir 27,216,000"
22 cir 28,512,000"
23 cir 29,808,000"
24 cir 31,104,000"
25 cir 32,400,000"
26 cir 33,696,000"
27 cir 34,992,000"
28 cir 36,288,000"
29 cir 37,584,000"
30 cir 38,880,000"
31 cir 40,176,000"
32 cir 41,472,000"
33 cir 42,768,000"
34 cir 44,064,000"
35 cir 45,360,000"
36 cir 46,656,000"
37 cir 47,952,000"
38 cir 49,248,000"
39 cir 50,544,000"
40 cir 51,840,000"

More Circle Angle Conversions

Convert to Radians
1 cir is equal to 6.283185 radians
Convert to Milliradians
1 cir is equal to 6,283.19 milliradians
Convert to Degrees
1 cir is equal to 360 degrees
Convert to Minutes Of Arc
1 cir is equal to 21,600 minutes of arc
Convert to Gradians
1 cir is equal to 400 gradians
Convert to Revolutions
1 cir is equal to 1 revolutions
Convert to Mils (NATO)
1 cir is equal to 6,400 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.