Convert Seconds Of Arc to Gradians

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

Results in Gradians:
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1 arcsec = 0.000309g

How to Convert Seconds Of Arc to Gradians

Protractors are often used to measure angle

To convert a second of arc measurement to a gradian measurement, multiply the angle by the conversion ratio. One second of arc is equal to 0.000309 gradians, so use this simple formula to convert:

gradians = seconds of arc × 0.000309

The angle in gradians is equal to the seconds of arc multiplied by 0.000309.

For example, here's how to convert 5 seconds of arc to gradians using the formula above.
5" = (5 × 0.000309) = 0.001543g

Seconds of arc and gradians 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 gradian is equal to 1/400 of a revolution or circle, or 9/10°. This unit simplifies the measurements of right angles, as 90° is equal to 100 gradians.

Right angles in gradians
0 grad
100 grad90°
200 grad180°
300 grad270°
400 grad360°

A gradian is sometimes also referred to as a grad, gon, or grade. Gradians can be abbreviated as g, and are also sometimes abbreviated as gr or grd. For example, 1 gradian can be written as 1g, 1 gr, or 1 grd.

Second Of Arc Measurements and Equivalent Gradian Conversions

Common second of arc values converted to the equivalent gradian value
Seconds Of Arc Gradians
1" 0.000309g
2" 0.000617g
3" 0.000926g
4" 0.001235g
5" 0.001543g
6" 0.001852g
7" 0.00216g
8" 0.002469g
9" 0.002778g
10" 0.003086g
11" 0.003395g
12" 0.003704g
13" 0.004012g
14" 0.004321g
15" 0.00463g
16" 0.004938g
17" 0.005247g
18" 0.005556g
19" 0.005864g
20" 0.006173g
21" 0.006481g
22" 0.00679g
23" 0.007099g
24" 0.007407g
25" 0.007716g
26" 0.008025g
27" 0.008333g
28" 0.008642g
29" 0.008951g
30" 0.009259g
31" 0.009568g
32" 0.009877g
33" 0.010185g
34" 0.010494g
35" 0.010802g
36" 0.011111g
37" 0.01142g
38" 0.011728g
39" 0.012037g
40" 0.012346g

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 Revolutions
1" is equal to 7.716E-7 revolutions
Convert to Circles
1" is equal to 7.716E-7 circles
Convert to Mils (NATO)
1" is equal to 0.004938 mils (NATO)