Arcseconds to Radians
Convert arcseconds to radians instantly. 1 ″ = 4.84814e-06 rad. Includes the exact factor, a conversion table of common values and the definition of both units.
How to convert arcseconds to radians
To convert arcseconds to radians, divide by 206264.8062470964 (multiply by 4.84814e-06). The relationship is fixed, so the same factor works for any quantity — there is nothing to look up and nothing that changes with temperature, location or context.
rad = ″ × 4.84814e-06
Arcseconds to Radians conversion table
The values people look up most often, rounded for reading. Use the calculator above for anything in between.
| Arcseconds | Radians |
|---|---|
| 1 ″ | 4.848e-06 rad |
| 2 ″ | 9.696e-06 rad |
| 3 ″ | 1.454e-05 rad |
| 5 ″ | 2.424e-05 rad |
| 10 ″ | 4.848e-05 rad |
| 20 ″ | 9.696e-05 rad |
| 25 ″ | 0.0001212 rad |
| 50 ″ | 0.0002424 rad |
| 100 ″ | 0.0004848 rad |
| 500 ″ | 0.002424 rad |
| 1,000 ″ | 0.004848 rad |
What is a arcsecond?
A 60th of an arcminute, the unit of astronomical precision.
What is a radian?
The SI angle unit: the angle subtending an arc equal to the radius.
The formula
rad = ″ × 4.84814e-06
Every result on this page comes from this formula. Nothing is rounded until the final display, so figures match a spreadsheet to the cent.
How to use the Arcseconds to Radians
- Type the number of arcseconds you want to convert.
- Read the result in radians straight away — there is no button to press.
- Check the table below for the values that come up most often, or reverse the conversion with the linked radians to arcseconds page.
Arcseconds to Radians — frequently asked questions
How many radians are in a arcsecond?
One arcsecond equals 4.84814e-06 rad. rad = ″ × 4.84814e-06
What is the formula to convert arcseconds to radians?
The formula is rad = ″ × 4.84814e-06. It is an exact definition rather than an approximation, so the conversion never drifts no matter how large the number.
How do I convert radians back to arcseconds?
Divide instead of multiplying: one radian is 206264.8062470964 ″. The reverse converter is linked in the related tools list.
Is this conversion exact?
Yes. Both units are defined against the same base unit by international agreement, so the factor is exact — any rounding you see is only in the display, which you can widen by entering more decimal places.
Is this arcseconds to radians free to use?
Yes. Every calculator on the site is free, needs no sign-up, and runs entirely in your browser, so your figures never leave your device.
What people search for
This page answers each of these searches. They are the exact phrases visitors use to find the arcseconds to radians.
- arcseconds to radians
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About this calculator
Written and reviewed by The Samsung Calculator editorial team. Every calculator is written against a published formula, reviewed against at least one independent reference implementation, and dated when it changes.
Last reviewed August 19, 2026 · Calculation runs client-side · No data collected · Report an error