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Convert Degrees to Minutes Seconds Calculator

Reviewed by Calculator Editorial Team

Converting degrees to minutes and seconds (DMS) is essential for precise measurements in navigation, astronomy, and cartography. This calculator provides an accurate conversion from decimal degrees to degrees, minutes, and seconds format.

How to Convert Degrees to Minutes and Seconds

The degrees-minutes-seconds (DMS) format is commonly used in geographic coordinates and astronomical measurements. To convert decimal degrees to DMS:

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

This process ensures precise conversion while maintaining the relationship between degrees, minutes, and seconds.

Conversion Formula

Degrees to DMS Conversion:

  1. Degrees = Integer part of the decimal degrees
  2. Minutes = (Decimal part of degrees) × 60
  3. Seconds = (Decimal part of minutes) × 60

The conversion maintains the fundamental relationship: 1° = 60' and 1' = 60".

Worked Examples

Example 1: Converting 45.75° to DMS

  1. Degrees = 45 (integer part)
  2. Minutes = 0.75 × 60 = 45'
  3. Seconds = 0 × 60 = 0"

Result: 45°45'0"

Example 2: Converting 123.456° to DMS

  1. Degrees = 123 (integer part)
  2. Minutes = 0.456 × 60 = 27.36'
  3. Seconds = 0.36 × 60 = 21.6"

Result: 123°27'21.6"

FAQ

What is the difference between decimal degrees and DMS?
Decimal degrees represent angles as a single decimal number (e.g., 45.75°), while DMS format separates the angle into degrees, minutes, and seconds (e.g., 45°45'0").
When should I use DMS format?
DMS format is commonly used in navigation, surveying, and astronomical measurements where precise angular measurements are required.
How accurate is this conversion?
This calculator provides precise conversion using standard mathematical operations, ensuring accurate results for most practical applications.