Calculator Convert Decimal Bearing to Degrees Minutes Seconds

What is a decimal bearing?

A decimal bearing is a way to represent an angle in degrees where the decimal portion of the number represents both minutes and seconds. For example, 45.75° is equivalent to 45° 45' 0".

This format is more compact than the traditional degrees-minutes-seconds format and is commonly used in digital systems and calculations. However, the traditional format is often preferred for manual calculations and documentation.

Conversion method

To convert a decimal bearing to degrees-minutes-seconds format:

1. Take the integer portion of the decimal number as the degrees value.
2. Multiply the decimal portion by 60 to get the minutes value.
3. Take the integer portion of the minutes value.
4. Multiply the remaining decimal portion of the minutes by 60 to get the seconds value.

Example conversion

Let's convert 45.75° to degrees-minutes-seconds:

1. Degrees = floor(45.75) = 45°
2. Minutes = floor((45.75 - 45) × 60) = floor(0.75 × 60) = 45'
3. Seconds = (45.75 - 45 - (45/60)) × 3600 ≈ 0"

The result is 45° 45' 0".

Common uses

Decimal bearings are commonly used in:

• Surveying and land measurement
• Navigation systems and GPS devices
• Engineering drawings and blueprints
• Cartography and map creation

The traditional degrees-minutes-seconds format is often preferred for documentation and manual calculations due to its clear separation of components.