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19 45 N 155 15 W to Decimal Degrees Calculator

Reviewed by Calculator Editorial Team

This calculator converts geographic coordinates from degrees, minutes, and seconds (DMS) format to decimal degrees (DD). The conversion is essential for GPS devices, mapping software, and geographic data analysis.

How to Use This Calculator

To convert coordinates from DMS to decimal degrees:

  1. Enter the degrees value in the first field (e.g., 19 for 19°45'N)
  2. Enter the minutes value in the second field (e.g., 45 for 19°45'N)
  3. Select the direction (N for North, S for South)
  4. Enter the degrees value for the longitude (e.g., 155 for 155°15'W)
  5. Enter the minutes value for the longitude (e.g., 15 for 155°15'W)
  6. Select the direction (W for West, E for East)
  7. Click "Calculate" to see the decimal degree equivalent

The calculator will display the converted coordinates in decimal degrees format, which is commonly used in GIS systems, mapping applications, and GPS devices.

Conversion Formula

The conversion from DMS to decimal degrees uses the following formula:

Decimal Degrees = Degrees + (Minutes / 60) + (Seconds / 3600)

For coordinates with direction (N/S/E/W), the decimal degrees are positive for North and East, and negative for South and West.

Example: 19°45'N converts to 19 + (45/60) = 19.75°

Example Calculation

Let's convert 19°45'N 155°15'W to decimal degrees:

  1. Latitude: 19°45'N
    • Degrees: 19
    • Minutes: 45
    • Direction: N (positive)
  2. Longitude: 155°15'W
    • Degrees: 155
    • Minutes: 15
    • Direction: W (negative)

Calculation:

Latitude: 19 + (45/60) = 19.75° Longitude: - (155 + (15/60)) = -155.25°

The decimal degree coordinates are 19.75°N, 155.25°W.

Frequently Asked Questions

What is the difference between DMS and decimal degrees?
DMS (Degrees, Minutes, Seconds) format separates coordinates into degrees, minutes, and seconds, while decimal degrees combine these into a single decimal number for easier computation and display.
Why is decimal degrees format preferred in modern applications?
Decimal degrees are more precise, easier to compute with, and compatible with most modern mapping and GIS software, making them the standard for professional applications.
Can I convert decimal degrees back to DMS?
Yes, you can reverse the conversion by taking the decimal part, multiplying by 60 to get minutes, and then taking the decimal part of minutes to get seconds.
What are the limitations of this calculator?
This calculator assumes standard DMS format without seconds. For more precise conversions, you may need to include seconds in the calculation.