Seconds Of Arc to Revolutions Conversion

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

Results in Revolutions:
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1 arcsec = 7.716E-7 r
Hint: use a scientific notation calculator to convert E notation to decimal

How to Convert Seconds Of Arc to Revolutions

Protractors are often used to measure angle

To convert a second of arc measurement to a revolution measurement, divide the angle by the conversion ratio.

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

revolutions = seconds of arc ÷ 1,296,000

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

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

Seconds of arc and revolutions 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 revolution, or turn, is equal to 1 rotation around a circle, or 360°. Revolutions are commonly used to measure the speed of rotation, for example when measuring the revolutions per minute (RPM) of a vehicle's engine.

A revolution is sometimes also referred to as a turn, cycle, or complete rotation. Revolutions can be abbreviated as r, and are also sometimes abbreviated as rev or cyc. For example, 1 revolution can be written as 1 r, 1 rev, or 1 cyc.

Second Of Arc to Revolution Conversion Table

Second of arc measurements converted to revolutions
Seconds Of Arc Revolutions
1" 0.0000007716 r
2" 0.0000015432 r
3" 0.0000023148 r
4" 0.0000030864 r
5" 0.000003858 r
6" 0.0000046296 r
7" 0.0000054012 r
8" 0.0000061728 r
9" 0.0000069444 r
10" 0.000007716 r
100" 0.00007716 r
1,000" 0.000772 r
10,000" 0.007716 r
100,000" 0.07716 r
1,000,000" 0.771605 r
10,000,000" 7.716 r