Arcsecond to Radian
Convert Arcsecond to Radian instantly. Free online angle unit converter with exact formula, conversion table and FAQ.
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Formula
radian = arcsecond × 0.000005
arcsecond = radian × 206264.806247
Conversion table
| 1 arcsec | 0.000005 rad |
| 5 arcsec | 0.000024 rad |
| 10 arcsec | 0.000048 rad |
| 20 arcsec | 0.000097 rad |
| 50 arcsec | 0.000242 rad |
| 100 arcsec | 0.000485 rad |
| 500 arcsec | 0.002424 rad |
| 1000 arcsec | 0.004848 rad |
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Frequently asked questions
What is the source unit in this conversion?
The source unit is the arcsecond (arcsec). One arcsecond is 1/3600 degree.
What is the destination unit in this conversion?
The destination unit is the radian (rad). The radian is the SI angle unit.
How do I convert arcsecond to radian?
Multiply the arcsecond value by 0.000005. For example, 10 arcsec × 0.000005 = 0.000048 rad.
Is the arcsecond to radian conversion exact?
Yes. The relationship between these units is a fixed mathematical or SI-defined ratio, so the conversion factor is exact rather than a measured approximation.
Where is this conversion commonly used?
It's used whenever a value expressed in arcsecond needs to be compared with, or reported in, radian, such as in engineering, scientific, or everyday calculations.
Can I convert radian back to arcsecond?
Yes. Multiply the radian value by 206264.806247 to get arcsecond.
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About this conversion
This page converts arcsecond (arcsec) to radian (rad) within the angle converter.
One arcsecond is 1/3600 degree. The radian is the SI angle unit.
The formula is radian = arcsecond × 0.000005, based on each unit's fixed relationship to the angle converter's base unit.
The conversion is exact, since it relies on a fixed numerical ratio between the two units rather than a measured or approximate value.
Use the calculator above for instant results, or the table below for common arcsecond values already converted to radian.