Milliradians to Seconds of Arc Conversion (mrad to arcsec)

Milliradians to Seconds of Arc Converter

Enter the angle in milliradians below to convert it to seconds of arc.

Result in Seconds of Arc:

1 mrad = 206.264806 arcsec

How to Convert Milliradians to Seconds of Arc

To convert a measurement in milliradians to a measurement in seconds of arc, multiply the angle by the following conversion ratio: 206.264806 seconds of arc/milliradian.

Since one milliradian is equal to 206.264806 seconds of arc, you can use this simple formula to convert:

seconds of arc = milliradians × 206.264806

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

For example, here's how to convert 5 milliradians to seconds of arc using the formula above.

seconds of arc = (5 mrad × 206.264806) = 1,031.324031"

How Many Seconds of Arc Are in a Milliradian?

There are 206.264806 seconds of arc in a milliradian, which is why we use this value in the formula above.

1 mrad = 206.264806"

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

What Is a Milliradian?

A milliradian is equal to 1/1,000 of a radian. One milliradian is equal to 0.0573 degrees 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 thousandths, or 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.

Learn more about milliradians.

What Is a Second 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″.

Learn more about seconds of arc.

Milliradian to Second of Arc Conversion Table

Table showing various milliradian measurements converted to seconds of arc.
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"

Table showing various milliradian measurements converted to seconds of arc.

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"