Convert Seconds Of Arc to Revolutions

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

Results in Revolutions:
Loading content.
1 arcsec = 7.716E-7 r

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

revolutions = seconds of arc × 7.716E-7

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

For example, here's how to convert 5 seconds of arc to revolutions using the formula above.
5" = (5 × 7.716E-7) = 3.858E-6 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 Measurements and Equivalent Revolution Conversions

Common second of arc values converted to the equivalent revolution value
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
11" 0.0000084877 r
12" 0.0000092593 r
13" 0.000010031 r
14" 0.000010802 r
15" 0.000011574 r
16" 0.000012346 r
17" 0.000013117 r
18" 0.000013889 r
19" 0.00001466 r
20" 0.000015432 r
21" 0.000016204 r
22" 0.000016975 r
23" 0.000017747 r
24" 0.000018519 r
25" 0.00001929 r
26" 0.000020062 r
27" 0.000020833 r
28" 0.000021605 r
29" 0.000022377 r
30" 0.000023148 r
31" 0.00002392 r
32" 0.000024691 r
33" 0.000025463 r
34" 0.000026235 r
35" 0.000027006 r
36" 0.000027778 r
37" 0.000028549 r
38" 0.000029321 r
39" 0.000030093 r
40" 0.000030864 r

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 Circles
1" is equal to 7.716E-7 circles
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.