Decimals to Degrees Calculator

Convert decimal degrees to degrees, minutes, and seconds with our precise decimals to degrees calculator. This tool helps you perform accurate angle conversions for navigation, astronomy, and engineering applications.

How to Use This Calculator

To convert decimal degrees to degrees, minutes, and seconds:

Enter the decimal degree value in the input field
Select the direction (North/South for latitude, East/West for longitude)
Click the "Calculate" button
View the converted DMS (degrees, minutes, seconds) result

The calculator will display the converted value in the standard DMS format used in navigation and surveying.

Conversion Formula

The conversion from decimal degrees to degrees, minutes, and seconds follows these steps:

Degrees = Integer part of the decimal degree Minutes = (Decimal part × 60) without the integer part Seconds = (Remaining decimal part × 60)

For example, converting 45.765° to DMS:

Degrees = 45
Minutes = 0.765 × 60 = 45.9
Seconds = 0.9 × 60 = 54

The result is 45° 45' 54".

Examples

Example 1: Positive Latitude

Convert 34.567° to DMS:

Degrees: 34
Minutes: 0.567 × 60 = 34.02
Seconds: 0.02 × 60 = 12

Result: 34° 34' 12" N

Example 2: Negative Longitude

Convert -118.345° to DMS:

Degrees: 118
Minutes: 0.345 × 60 = 20.7
Seconds: 0.7 × 60 = 42

Result: 118° 20' 42" W

FAQ

What is the difference between decimal degrees and DMS?: Decimal degrees represent angles as a single decimal number (e.g., 45.765°), while DMS (degrees, minutes, seconds) breaks it into three parts (e.g., 45° 45' 54"). DMS is often used in navigation and surveying.
How accurate is this conversion?: The conversion is mathematically precise to the number of decimal places you input. The calculator handles up to 10 decimal places for maximum accuracy.
Can I convert DMS back to decimal degrees?: Yes, our calculator can perform both conversions. Simply enter the DMS values and select the appropriate conversion mode.
What are the practical applications of this conversion?: This conversion is used in GPS navigation, astronomy, cartography, and engineering measurements where precise angle representation is required.