Calculator Degrees to Degrees Minutes Seconds

Convert decimal degrees to degrees, minutes, and seconds with our precise calculator. This format is commonly used in navigation, astronomy, and cartography. Learn the conversion process, see practical examples, and understand when to use this format.

How to Use This Calculator

Enter the decimal degrees value you want to convert in the input field. The calculator will automatically display the equivalent degrees, minutes, and seconds. You can also see a visual representation of the conversion.

For example, entering 45.75 degrees will convert to 45° 45' 0". The calculator handles both positive and negative values.

Conversion Formula

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

1. Separate the integer part as degrees (D)

2. Multiply the decimal part by 60 to get minutes (M)

3. Separate the integer part of minutes as minutes (M)

4. Multiply the remaining decimal part by 60 to get seconds (S)

Final format: D° M' S"

For example, converting 45.75°:

Degrees: 45
Minutes: 0.75 × 60 = 45
Seconds: 0 × 60 = 0
Result: 45° 45' 0"

Examples

Decimal Degrees	Degrees Minutes Seconds
30.5	30° 30' 0"
12.75	12° 45' 0"
60.125	60° 7' 30"
-25.333	-25° 20' 0"

When to Use This Format

Degrees, minutes, and seconds are commonly used in:

Navigation systems (GPS coordinates)
Astronomy and astrophotography
Cartography and surveying
Historical maps and old measurement systems

This format provides more precise measurements than decimal degrees alone, especially for small angles.

FAQ

Why convert decimal degrees to degrees, minutes, and seconds?: This format is often required for precise measurements in navigation, astronomy, and cartography where small angles need to be represented accurately.
Can I convert negative decimal degrees?: Yes, the calculator handles both positive and negative values correctly, which is important for coordinates in different hemispheres.
What if the decimal part is very small?: The calculator will still show the conversion, though the minutes and seconds may be very small. For example, 45.0001° converts to 45° 0' 0.36".
Is this conversion reversible?: Yes, you can convert back to decimal degrees by calculating: D + M/60 + S/3600.
Where can I find more information about this format?: You can refer to the Wikipedia page on decimal degrees for more details about the conversion process.