Arc Seconds to Radians

Convert arc seconds (″) to radians (rad) with formulas, examples, and conversion tables.

Arc Seconds (″)

″

Radians (rad)

rad

1 ″ = 4.8481e-6 rad

Full precision:0.0000048481 rad

Step-by-Step Solution

To convert 1 arc seconds to radians, we divide by 206264.71 because one radian equals exactly 206264.71 arc seconds.

1 radian = 206264.71 arc seconds

Since there are 206264.71 arc seconds in every radian, we divide our value by this factor:

1 ÷ 206264.71 = 4.8481e-6 radians

So 1 arc seconds = 4.8481e-6 radians.

✓Quick check: 4.8481e-6 × 206264.71 = 1 arc seconds

How to Convert Arc Seconds to Radians

To convert arc seconds to radians, divide the value by 206264.71.

Radians = Arc Seconds ÷ 206264.71

1 radian = 206264.71 arc seconds

Tip: To convert radians back to arc seconds, multiply by 206264.71.

Example 1: 1 ″ = 4.8481e-6 rad
1 ÷ 206264.71 = 4.8481e-6

Example 2: 5 ″ = 2.4241e-5 rad
5 ÷ 206264.71 = 2.4241e-5

Example 3: 10 ″ = 4.8481e-5 rad
10 ÷ 206264.71 = 4.8481e-5