Seconds of Arc to Circles Converter

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


Result in Circles:

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1 arcsec = 7.716E-7 cir
Hint: use a scientific notation calculator to convert E notation to decimal

Do you want to convert circles to seconds of arc?

How to Convert Seconds of Arc to Circles

To convert a measurement in seconds of arc to a measurement in circles, divide 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:

circles = seconds of arc ÷ 1,296,000

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

For example, here's how to convert 5,000,000 seconds of arc to circles using the formula above.
circles = (5,000,000" ÷ 1,296,000) = 3.858025 cir

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

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.

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.

Second of Arc to Circle Conversion Table

Table showing various second of arc measurements converted to circles.
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
100" 0.00007716 cir
1,000" 0.000772 cir
10,000" 0.007716 cir
100,000" 0.07716 cir
1,000,000" 0.771605 cir
10,000,000" 7.716 cir

More Second of Arc & Circle Conversions