Arcseconds to Radians (″ to rad) Converter

How to convert arcseconds to radians

Formularad = ″ × 0.000004848136811

Multiply the value in arcseconds by 0.000004848136811. To go the other way, multiply by 206,264.8062 (or divide by 0.000004848136811).

An arcsecond is smaller than a radian: it takes 206,264.8062 arcseconds to make one radian.

Worked examples

1 arcsecond1 ″ × 0.000004848136811 = 0.000004848136811 rad
5 arcseconds5 ″ × 0.000004848136811 = 0.00002424068406 rad
10 arcseconds10 ″ × 0.000004848136811 = 0.00004848136811 rad
20 arcseconds20 ″ × 0.000004848136811 = 0.00009696273622 rad
100 arcseconds100 ″ × 0.000004848136811 = 0.0004848136811 rad

Arcseconds to radians conversion table

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

Arcseconds to radians: 0.1–10 ″
Arcseconds (″)	Radians (rad)
0.1 ″	4.8481368×10⁻⁷ rad
0.25 ″	0.0000012120342 rad
0.5 ″	0.0000024240684 rad
1 ″	0.0000048481368 rad
2 ″	0.0000096962736 rad
3 ″	0.00001454441 rad
4 ″	0.000019392547 rad
5 ″	0.000024240684 rad
6 ″	0.000029088821 rad
7 ″	0.000033936958 rad
8 ″	0.000038785094 rad
9 ″	0.000043633231 rad
10 ″	0.000048481368 rad

Arcseconds to radians: 12–1,000 ″
Arcseconds (″)	Radians (rad)
12 ″	0.000058177642 rad
15 ″	0.000072722052 rad
20 ″	0.000096962736 rad
25 ″	0.00012120342 rad
30 ″	0.0001454441 rad
40 ″	0.00019392547 rad
50 ″	0.00024240684 rad
75 ″	0.00036361026 rad
100 ″	0.00048481368 rad
250 ″	0.0012120342 rad
500 ″	0.0024240684 rad
1,000 ″	0.0048481368 rad

About the units

Arcsecond (″)

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

Radian (rad)

The angle subtended by an arc equal in length to the radius; 2π rad make a full turn, so 1 rad ≈ 57.2958°.

Frequently asked questions

How many radians are in one arcsecond?

There are 0.000004848136811 radians in one arcsecond, and this value is exact by definition.

How do I convert arcseconds to radians?

Multiply the number of arcseconds by 0.000004848136811. For example, 10 ″ × 0.000004848136811 = 0.00004848136811 rad.

How many arcseconds are in one radian?

One radian equals 206,264.8062 arcseconds. That is the reverse factor, 1 ÷ 0.000004848136811.

What is 10 arcseconds in radians?

10 ″ = 0.00004848136811 rad.

Is this ″ to rad 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 Radians Converter