Decimal Degrees to Degrees,Minutes,Seconds conversion

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°):

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

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"

30.263888889° = 30° 15' 50"