Degrees,minutes,seconds to decimal degrees conversion

Convert angles from Degrees (°), Minutes ('), and Seconds ('') to Decimal Degrees using our angle converter tool.

Input the angle in degrees, minutes, and seconds, and then click the "Convert" button.

°
'
"
 
Decimal degrees:  
Angle view:  

Learn how to convert degrees, minutes, and seconds into decimal degrees.

Keep in mind that one degree is equivalent to 60 minutes or 3600 seconds.

1° = 60' = 3600"

One minute is equal to 1/60 degrees:

1' = (1/60)° = 0.01666667°

One second is equal to 1/3600 degrees:

1" = (1/3600)° = 2.77778e-4° = 0.000277778°

When dealing with an angle represented by integer degrees, minutes (m), and seconds (s):

d° m' s"

The decimal degrees dd is equal to:

dd = d + m/60 + s/3600

Example

Transform an angle of 30 degrees, 15 minutes, and 50 seconds into decimal degrees.

30° 15' 50"

The decimal degrees dd is equal to:

dd = d + m/60 + s/3600 = 30° + 15'/60 + 50"/3600 = 30.263888889°

How do you convert degrees minutes seconds to decimal degrees?

To convert from degrees, minutes, and seconds to decimal degrees, follow these steps:

1. Convert minutes and seconds to their degree equivalents:

25 minutes ÷ 60 = 0.4167 degrees
30 seconds ÷ 3600 = 0.0083 degrees

2. Add the degree equivalents to the number of degrees:

39 degrees + 0.4167 degrees + 0.0083 degrees = 39.425 degrees
So, the final result is: 39 degrees, 25 minutes, and 30 seconds is equivalent to 39.425 degrees in decimal form.


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