Decimal Degrees to Degrees Minutes Seconds Converter
This decimal degrees to degrees minutes seconds calculator is used in geography and navigation to convert coordinates from decimal format to the more traditional degrees, minutes, and seconds format.
With coordinate in decimal degrees like 40.7128° N, 74.0060° W (the approximate location of New York City), you might want to convert it to degrees, minutes, and seconds for use with certain maps or navigation systems. The converter would transform this to 40° 42' 46.08" N, 74° 0' 21.6" W.Decimal Degrees to Degrees Minutes Seconds Conversion Chart
| Decimal Degrees | Degrees | Minutes | Seconds | Direction |
|---|---|---|---|---|
| 40.7128 | 40 | 42 | 46.08 | N |
| 74.0060 | 74 | 0 | 21.6 | W |
| -23.5432 | -23 | 32 | 35.52 | S |
| 51.5074 | 51 | 30 | 26.64 | N |
| -0.1278 | 0 | 7 | 39.84 | W |
| 34.0522 | 34 | 3 | 8.32 | N |
| -118.2437 | 118 | 14 | 37.32 | W |
| 48.8566 | 48 | 51 | 23.76 | N |
| 2.3522 | 2 | 21 | 8.16 | E |
| -33.4489 | -33 | 26 | 55.04 | S |
| 151.2093 | 151 | 12 | 33.48 | E |
Decimal Degrees to Degrees Minutes Seconds Formula
The formula for converting decimal degrees to degrees, minutes, and seconds is:
- Degrees = Integer part of the decimal degree
- Minutes = Integer part of (fractional part × 60)
- Seconds = (fractional part of (fractional part × 60)) × 60
Let’s apply this formula to convert 40.7128°:
- Degrees = 40
- Fractional part = 0.7128
- Minutes = Integer part of (0.7128 × 60) = 42
- Remaining fraction = 0.7128 × 60 – 42 = 0.768
- Seconds = 0.768 × 60 = 46.08
Therefore, 40.7128° = 40° 42′ 46.08″.
How to Convert from Decimal Degrees to Degrees Minutes/Seconds
To convert decimal degrees to degrees, minutes, and seconds:
Take the integer part of the decimal degree as the degree value.
Multiply the remaining decimal by 60 to get minutes.
Take the integer part of this result as the minutes value.
Multiply the remaining decimal by 60 to get seconds.
For example, let’s convert -23.5432°:
Degrees = -23
0.5432 × 60 = 32.592
Minutes = 32
0.592 × 60 = 35.52
A -23.5432° = 23° 32′ 35.52″ S (Note the S for South, as the original value was negative).
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