Arcsecond to Radian Converter (and vice versa)

Created by: tinycalcs.com/en
Number of supported units: 2
Last update: 2026

This converter allows you to convert arcseconds [″] to radians [rad] or radians [rad] to arcseconds [″]. Calculations are performed in both directions. The calculation result and the entered value are displayed with up to 20 decimal places for maximum accuracy.

1 arcsecond [″] ≈ 4.848 * 10-6 radians [rad]1 radian [rad] ≈ 206,264.8062 arcseconds [″]

Convert arcseconds to radians

There are two simple ways to convert arcseconds [″] to radians [rad]. In the first calculation method, the value in arcseconds [″] is divided by the rounded conversion factor of 206,264.8062. The second method multiplies the value in arcseconds [″] by the rounded conversion factor of 4.848 * 10-6.

  • Radians [rad] ≈ arcseconds [″] ÷ 206,264.8062
  • Radians [rad] ≈ arcseconds [″] * 4.848 * 10-6

However, rounded conversion values are only suitable for rough conversions, as rounding errors can occur in the calculation result. The most accurate conversion of arcseconds [″] to radians [rad] can be achieved using the following calculation method.

  • Radians [rad] = arcseconds [″] * π ÷ 648,000

Convert radians to arcseconds

Converting radians [rad] to arcseconds [″] is easy and can be done in two ways. The first method involves multiplication, in which the value in radians [rad] is multiplied by the rounded conversion factor of 206,264.8062. The second variant is a division. Here, the value in radians [rad] is divided by the rounded conversion factor of 4.848 * 10-6.

  • Arcseconds [″] ≈ radians [rad] * 206,264.8062
  • Arcseconds [″] ≈ radians [rad] ÷ (4.848 * 10-6)

However, rounded conversion values do not allow for exact calculations because rounding errors can occur in the calculation result. The most accurate conversion of radians [rad] to arcseconds [″] can be achieved using the following calculation method.

  • Arcseconds [″] = radians [rad] * 648,000 ÷ π

Converter

Decimal places

How it's calculated

Factor: 
≈ 206,264.806
Radians = Arcseconds * π ÷ 648,000
Arcseconds = Radians * 648,000 ÷ π

To all available units

Arcseconds

Revolutions

Arcseconds

Right angles

Arcseconds

Turns

Centigons

Milligons

Centigons

NATO mils