Convert Gradians to Seconds Of Arc

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

Results in Seconds Of Arc:
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1g = 3,240 arcsec

How to Convert Gradians to Seconds Of Arc

Protractors are often used to measure angle

To convert a gradian measurement to a second of arc measurement, multiply the angle by the conversion ratio. One gradian is equal to 3,240 seconds of arc, so use this simple formula to convert:

seconds of arc = gradians × 3,240

The angle in seconds of arc is equal to the gradians multiplied by 3,240.

For example, here's how to convert 5 gradians to seconds of arc using the formula above.
5g = (5 × 3,240) = 16,200"

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


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.

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″.

Gradian Measurements and Equivalent Second Of Arc Conversions

Common gradian values converted to the equivalent second of arc value
Gradians Seconds Of Arc
1g 3,240"
2g 6,480"
3g 9,720"
4g 12,960"
5g 16,200"
6g 19,440"
7g 22,680"
8g 25,920"
9g 29,160"
10g 32,400"
11g 35,640"
12g 38,880"
13g 42,120"
14g 45,360"
15g 48,600"
16g 51,840"
17g 55,080"
18g 58,320"
19g 61,560"
20g 64,800"
21g 68,040"
22g 71,280"
23g 74,520"
24g 77,760"
25g 81,000"
26g 84,240"
27g 87,480"
28g 90,720"
29g 93,960"
30g 97,200"
31g 100,440"
32g 103,680"
33g 106,920"
34g 110,160"
35g 113,400"
36g 116,640"
37g 119,880"
38g 123,120"
39g 126,360"
40g 129,600"

More Gradian Angle Conversions

Convert to Radians
1g is equal to 0.015708 radians
Convert to Milliradians
1g is equal to 15.707963 milliradians
Convert to Degrees
1g is equal to 0.9 degrees
Convert to Minutes Of Arc
1g is equal to 54 minutes of arc
Convert to Revolutions
1g is equal to 0.0025 revolutions
Convert to Circles
1g is equal to 0.0025 circles
Convert to Mils (NATO)
1g is equal to 16 mils (NATO)