Circles to Seconds of Arc Conversion (cir to arcsec)

Circles to Seconds of Arc Converter

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

Results in Seconds of Arc:

1 cir = 1,296,000 arcsec

How to Convert Circles to Seconds of Arc

To convert a measurement in circles to a measurement in seconds of arc, multiply the angle by the following conversion ratio: 1,296,000 seconds of arc/circle.

Since one circle is equal to 1,296,000 seconds of arc, you can use this simple formula to convert:

seconds of arc = circles × 1,296,000

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

For example, here's how to convert 5 circles to seconds of arc using the formula above.

seconds of arc = (5 cir × 1,296,000) = 6,480,000"

How Many Seconds of Arc Are in a Circle?

There are 1,296,000 seconds of arc in a circle, which is why we use this value in the formula above.

1 cir = 1,296,000"

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

What is a Circle?

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.

A circle is more commonly used to describe a round, symmetrical shape with no corners or edges than it is to describe plane angle. The shape is described by its radius and circumference.

Learn more about circles.

What is a Second 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″.

Learn more about seconds of arc.

Circle to Second of Arc Conversion Table

Table showing various circle measurements converted to seconds of arc.
Circles	Seconds Of Arc
0.000001 cir	1.296"
0.000002 cir	2.592"
0.000003 cir	3.888"
0.000004 cir	5.184"
0.000005 cir	6.48"
0.000006 cir	7.776"
0.000007 cir	9.072"
0.000008 cir	10.37"
0.000009 cir	11.66"
0.0000001 cir	0.1296"
0.000001 cir	1.296"
0.00001 cir	12.96"
0.0001 cir	129.6"
0.001 cir	1,296"
0.01 cir	12,960"
0.1 cir	129,600"
1 cir	1,296,000"

Table showing various circle measurements converted to seconds of arc.

Circles

Seconds Of Arc

0.000001 cir

1.296"

0.000002 cir

2.592"

0.000003 cir

3.888"

0.000004 cir

5.184"

0.000005 cir

6.48"

0.000006 cir

7.776"

0.000007 cir

9.072"

0.000008 cir

10.37"

0.000009 cir

11.66"

0.0000001 cir

0.1296"

0.000001 cir

1.296"

0.00001 cir

12.96"

0.0001 cir

129.6"

0.001 cir

1,296"

0.01 cir

12,960"

0.1 cir

129,600"

1 cir

1,296,000"