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Arcseconds to radians

1 arcsecond in radians
1 " = 0.000004848 rad
rad = " × 0.000004848137

To convert arcseconds to radians, multiply by 0.000004848137. The table below gives the values people look up most often, and the converter works for any number.

Arcseconds to radians table

Common arcsecond values converted to radians.
Arcseconds Radians
1 " 0.000004848
2 " 0.000009696
3 " 0.00001454
4 " 0.00001939
5 " 0.00002424
10 " 0.00004848
15 " 0.00007272
20 " 0.00009696
25 " 0.0001212
30 " 0.0001454
40 " 0.0001939
50 " 0.0002424
75 " 0.0003636
100 " 0.0004848
250 " 0.001212
500 " 0.0024241
1,000 " 0.0048481

How the conversion works

The relationship is rad = " × 0.000004848137. Both units measure angle, so the conversion is a fixed factor that never changes.

Common questions

How many radians are in one arcsecond?
One arcsecond equals 0.000004848 radians. rad = " × 0.000004848137.
How do you convert arcseconds to radians?
Use rad = " × 0.000004848137. So 10 " is 0.00004848 rad.
How many arcseconds are in one radian?
One radian equals 206,264.81 arcseconds, which is the reverse of the conversion above.

Related pages

Sources

  1. Guide for the Use of the International System of Units (SP 811) — NIST (Public domain (US Government))
  2. The International System of Units (SI Brochure) — Bureau International des Poids et Mesures
  3. Calculated on this page — At One Place

How these figures are compiled and checked