Convert Milliradians to Seconds Of Arc

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

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1 mrad = 206.264806 arcsec

How to Convert Milliradians to Seconds Of Arc

Protractors are often used to measure angle

To convert a milliradian measurement to a second of arc measurement, multiply the angle by the conversion ratio. One milliradian is equal to 206.264806 seconds of arc, so use this simple formula to convert:

seconds of arc = milliradians × 206.264806

The angle in seconds of arc is equal to the milliradians multiplied by 206.264806.

For example, here's how to convert 5 milliradians to seconds of arc using the formula above.
5 mrad = (5 × 206.264806) = 1,031.324031"

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

Milliradians

A milliradian is equal to 1/1,000 of a radian. One degree is equal to 0.0573 milliradians and there are 6,283 milliradians in a full revolution/circle. The milliradian is also a commonly used unit in mathematics.

The milliradian is a multiple of the radian, which is the SI derived unit for angle. In the metric system, "milli" is the prefix for 10-3. A milliradian is sometimes also referred to as a mil. Milliradians can be abbreviated as mrad, for example 1 milliradian can be written as 1 mrad.

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″.

Milliradian Measurements and Equivalent Second Of Arc Conversions

Common milliradian values converted to the equivalent second of arc value
Milliradians Seconds Of Arc
1 mrad 206.26"
2 mrad 412.53"
3 mrad 618.79"
4 mrad 825.06"
5 mrad 1,031"
6 mrad 1,238"
7 mrad 1,444"
8 mrad 1,650"
9 mrad 1,856"
10 mrad 2,063"
11 mrad 2,269"
12 mrad 2,475"
13 mrad 2,681"
14 mrad 2,888"
15 mrad 3,094"
16 mrad 3,300"
17 mrad 3,507"
18 mrad 3,713"
19 mrad 3,919"
20 mrad 4,125"
21 mrad 4,332"
22 mrad 4,538"
23 mrad 4,744"
24 mrad 4,950"
25 mrad 5,157"
26 mrad 5,363"
27 mrad 5,569"
28 mrad 5,775"
29 mrad 5,982"
30 mrad 6,188"
31 mrad 6,394"
32 mrad 6,600"
33 mrad 6,807"
34 mrad 7,013"
35 mrad 7,219"
36 mrad 7,426"
37 mrad 7,632"
38 mrad 7,838"
39 mrad 8,044"
40 mrad 8,251"

More Milliradian Angle Conversions

Convert to Radians
1 mrad is equal to 0.001 radians
Convert to Degrees
1 mrad is equal to 0.057296 degrees
Convert to Minutes Of Arc
1 mrad is equal to 3.437747 minutes of arc
Convert to Gradians
1 mrad is equal to 0.063662 gradians
Convert to Revolutions
1 mrad is equal to 0.000159 revolutions
Convert to Circles
1 mrad is equal to 0.000159 circles
Convert to Mils (NATO)
1 mrad is equal to 1.018592 mils (NATO)