Degrees to Degrees, Minutes, Seconds free online converter

Decimal degrees to degrees (°), minutes ('), seconds ('') angle converter and how to convert.

Enter angle in degrees and press the Convert button (e.g:30.56°, -60.2°):

°

Degrees, minutes, seconds to degrees converter »

About DMS to Decimal Degrees

You can convert degrees, minutes, seconds for both latitude and longitude to decimal degrees. Simply enter the DMS values for lat or both lat and long, than press the convert button. The decimal degrees coordinates will be calculated and displayed below the form.How to convert decimal degrees to degrees,minutes,seconds

How to convert decimal degrees to degrees,minutes,seconds

One degree (°) is equal to 60 minutes (') and equal to 3600 seconds ("):

1° = 60' = 3600"

The integer degrees (d) are equal to the integer part of the decimal degrees (dd):

d = integer(dd)

The minutes (m) are equal to the integer part of the decimal degrees (dd) minus integer degrees (d) times 60:

m = integer((dd - d) × 60)

The seconds (s) are equal to the decimal degrees (dd) minus integer degrees (d) minus minutes (m) divided by 60 times 3600:

s = (dd - d - m/60) × 3600

Example

Convert 30.263888889° angle to degrees,minutes,seconds:

d = integer(30.263888889°) = 30°

m = integer((dd - d) × 60) = 15'

s = (dd - d - m/60) × 3600 = 50"

So

30.263888889° = 30° 15' 50"

Degrees, minutes, seconds to degrees conversion »

Why multiply decimal degrees by 60 to get minutes and seconds?

Circles and spheres have 360 degrees in a complete rotation. One degree has 60 minutes and one minute has 60 seconds. If you have 91.456 degrees you can see that your measurement is 91 whole degress plus 0.456 of a degree.

To state the decimal 0.456 degrees in minutes multiply 0.456*60 to get 27.36 minutes. Now you have 27 whole minutes plus 0.36 of a minute.

To state the decimal 0.36 minutes seconds multiply 0.36*60 to get 21.6 seconds. Since your decimal 0.6 is greater than 0.5 you can round up to 22 seconds if you like.


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