Arcseconds to Milliradians (″ to mrad) Converter

How to convert arcseconds to milliradians

Formulamrad = ″ × 0.004848136811

Multiply the value in arcseconds by 0.004848136811. To go the other way, multiply by 206.2648062 (or divide by 0.004848136811).

An arcsecond is smaller than a milliradian: it takes 206.2648062 arcseconds to make one milliradian.

Worked examples

1 arcsecond1 ″ × 0.004848136811 = 0.004848136811 mrad
5 arcseconds5 ″ × 0.004848136811 = 0.02424068406 mrad
10 arcseconds10 ″ × 0.004848136811 = 0.04848136811 mrad
20 arcseconds20 ″ × 0.004848136811 = 0.09696273622 mrad
100 arcseconds100 ″ × 0.004848136811 = 0.4848136811 mrad

Arcseconds to milliradians conversion table

Values are calculated by the conversion engine and rounded to 8 significant figures.

Arcseconds to milliradians: 0.1–10 ″
Arcseconds (″)	Milliradians (mrad)
0.1 ″	0.00048481368 mrad
0.25 ″	0.0012120342 mrad
0.5 ″	0.0024240684 mrad
1 ″	0.0048481368 mrad
2 ″	0.0096962736 mrad
3 ″	0.01454441 mrad
4 ″	0.019392547 mrad
5 ″	0.024240684 mrad
6 ″	0.029088821 mrad
7 ″	0.033936958 mrad
8 ″	0.038785094 mrad
9 ″	0.043633231 mrad
10 ″	0.048481368 mrad

Arcseconds to milliradians: 12–1,000 ″
Arcseconds (″)	Milliradians (mrad)
12 ″	0.058177642 mrad
15 ″	0.072722052 mrad
20 ″	0.096962736 mrad
25 ″	0.12120342 mrad
30 ″	0.1454441 mrad
40 ″	0.19392547 mrad
50 ″	0.24240684 mrad
75 ″	0.36361026 mrad
100 ″	0.48481368 mrad
250 ″	1.2120342 mrad
500 ″	2.4240684 mrad
1,000 ″	4.8481368 mrad

About the units

Arcsecond (″)

The arcsecond (″) is a unit of angle. One arcsecond equals 0.000004848136811 radians (rad).

Milliradian (mrad)

The milliradian (mrad) is a unit of angle in the International System of Units (SI). One milliradian equals 0.001 radians (rad).

Frequently asked questions

How many milliradians are in one arcsecond?

There are 0.004848136811 milliradians in one arcsecond, and this value is exact by definition.

How do I convert arcseconds to milliradians?

Multiply the number of arcseconds by 0.004848136811. For example, 10 ″ × 0.004848136811 = 0.04848136811 mrad.

How many arcseconds are in one milliradian?

One milliradian equals 206.2648062 arcseconds. That is the reverse factor, 1 ÷ 0.004848136811.

What is 10 arcseconds in milliradians?

10 ″ = 0.04848136811 mrad.

Is this ″ to mrad converter accurate?

Yes. Both units are defined exactly in terms of SI units, so the conversion factor is exact; results are shown to 12 significant figures by default and you can change precision in the converter. Calculations run in your browser using the same tested engine that generated this page.

Arcseconds to Milliradians Converter