Decimal Degrees to Degrees,Minutes,Seconds conversion

Convert decimal degrees to degrees (°), minutes ('), and seconds ('') using our angle converter.

Input the angle in degrees and click the "Convert" button (e.g., 30.56°, -60.2°):

°
 
Degrees,minutes,seconds:
Calculation:
Angle view:  

How to change decimal degrees into degrees, minutes, and 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"

Why would I need to convert decimal degrees to degrees, minutes, and seconds?

Converting decimal degrees into degrees, minutes, and seconds is valuable for expressing geographic coordinates or angles in a format that's more commonly used in navigation, cartography, and other geographical applications. It provides a more intuitive representation for precise locations.


See also

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