Radians to Arcseconds
Convert radians to arcseconds instantly. 1 rad = 206264.8062470964 ″. Includes the exact factor, a conversion table of common values and the definition of both units.
How to convert radians to arcseconds
To convert radians to arcseconds, multiply by 206264.8062470964. 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 × 206264.8062470964
Radians to Arcseconds conversion table
The values people look up most often, rounded for reading. Use the calculator above for anything in between.
| Radians | Arcseconds |
|---|---|
| 1 rad | 206,264.81 ″ |
| 2 rad | 412,529.61 ″ |
| 3 rad | 618,794.42 ″ |
| 5 rad | 1,031,324.03 ″ |
| 10 rad | 2,062,648.06 ″ |
| 20 rad | 4,125,296.12 ″ |
| 25 rad | 5,156,620.16 ″ |
| 50 rad | 10,313,240.31 ″ |
| 100 rad | 20,626,480.62 ″ |
| 500 rad | 103,132,403.12 ″ |
| 1,000 rad | 206,264,806.25 ″ |
What is a radian?
The SI angle unit: the angle subtending an arc equal to the radius.
What is a arcsecond?
A 60th of an arcminute, the unit of astronomical precision.
The formula
″ = rad × 206264.8062470964
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 Radians to Arcseconds
- Type the number of radians you want to convert.
- Read the result in arcseconds 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 arcseconds to radians page.
Radians to Arcseconds — frequently asked questions
How many arcseconds are in a radian?
One radian equals 206264.8062470964 ″. ″ = rad × 206264.8062470964
What is the formula to convert radians to arcseconds?
The formula is ″ = rad × 206264.8062470964. It is an exact definition rather than an approximation, so the conversion never drifts no matter how large the number.
How do I convert arcseconds back to radians?
Divide instead of multiplying: one arcsecond is 4.84814e-06 rad. 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 radians to arcseconds 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 radians to arcseconds.
- radians to arcseconds
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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