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Degrees to seconds converter

Convert degrees to arcseconds or back, with a common-angle table and clear distinctions between angular units and time units.

Calculator

Degrees
1
Arcseconds
3,600
Common values for this conversion
DegreesArcsecondsGradiansTurnsArcminutesMilliradians
0.0002777781.0000000000.0003086420.0000007720.0166666670.004848137
0.01666666760.0000000000.0185185190.0000462961.0000000000.290888209
0.100000000360.0000000000.1111111110.0002777786.0000000001.745329252
0.5000000001,800.0000000000.5555555560.00138888930.0000000008.726646260
1.0000000003,600.0000000001.1111111110.00277777860.00000000017.453292520
5.00000000018,000.0000000005.5555555560.013888889300.00000000087.266462600
90.000000000324,000.000000000100.0000000000.2500000005,400.0000000001,570.796326795
360.0000000001,296,000.000000000400.0000000001.00000000021,600.0000000006,283.185307180
This value in other units
UnitValue
Degrees1.000000000
Arcseconds3,600.000000000
Gradians1.111111111
Turns0.002777778
Arcminutes60.000000000
Milliradians17.453292520

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How this calculator works

One degree contains 60 arcminutes and 3,600 arcseconds. Thus there are exactly 3600 arcseconds per degree. These subdivisions measure angle, not elapsed time. The table accepts fractional and negative angles, with no wrapping at 360 degrees.

Formula

arcseconds = degrees x 3600; degrees = arcseconds / 3600.

Worked example

0.25 degree is exactly 900 arcseconds. An angle of 7,200 arcseconds is 2 degrees.

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Frequently asked questions

Are arcseconds time units?

No. An arcminute or arcsecond is an angle. Minutes and seconds of time belong to another dimension.

Can the angle exceed 360 degrees?

Yes. The calculator preserves multiple turns and negative signs instead of reducing the angle to a single turn.

Does this give a distance on the ground?

No. Converting an angle to arc length requires a radius. Geographic distances also depend on position and the Earth model.

Sources

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