# Milliradians to Seconds of Arc Converter

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

## Result in Seconds of Arc:

Do you want to convert seconds of arc to milliradians?

## 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.

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.

## 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″.

## Milliradian to Second of Arc Conversion Table

Table showing various milliradian measurements converted to seconds of arc.