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Convert Radians to Seconds of Arc

Please enter the angle in radians below to convert it into seconds of arc.

Enter Radians:
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Result in Seconds of Arc:
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Would you like to convert seconds of arc to radians?

How to Convert Radians to Seconds of Arc

To convert a measurement in radians to seconds of arc, simply multiply the angle by the conversion ratio.

The relationship between radians and seconds of arc is: one second of arc is equal to π/648000 radians. Therefore, we can use the following formula to convert between these units of measurement:

seconds of arc = radians × (648000 ÷ π)

For example, to convert 3 radians to seconds of arc using this method, you would write:

seconds of arc = 3 × (648000 ÷ π)
seconds of arc = 618794.4187413

Therefore, 3 radians is equivalent to 618794.4187413 seconds of arc.

Radians to Seconds of Arc Conversion Table

Radians (multiple of π)Radians (decimal)Seconds of Arc
0 rad0 rad0 arcsec
π/12 rad0.26179939 rad54000 arcsec
π/6 rad0.52359878 rad108000 arcsec
π/4 rad0.78539816 rad162000 arcsec
π/3 rad1.04719755 rad216000 arcsec
π/2 rad1.57079633 rad324000 arcsec
2π/3 rad2.0943951 rad432000 arcsec
5π/6 rad2.61799388 rad540000 arcsec
11π/12 rad2.87979327 rad594000 arcsec
π rad3.14159265 rad648000 arcsec
5π/4 rad3.92699082 rad810000 arcsec
3π/2 rad4.71238898 rad972000 arcsec
7π/4 rad5.49778714 rad1134000 arcsec
2π rad6.28318531 rad1296000 arcsec

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