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Convert Degrees to Minutes Calculator

Reviewed by Calculator Editorial Team

Convert angles between decimal degrees and degrees-minutes-seconds format with our precise calculator. Learn how to perform manual conversions and understand the practical applications of this measurement system.

How to Convert Degrees to Minutes

The degrees-minutes-seconds (DMS) format is commonly used in navigation, surveying, and cartography. To convert decimal degrees to DMS:

  1. Separate the integer degrees from the decimal portion
  2. Multiply the decimal portion by 60 to get minutes
  3. Separate the integer minutes from the decimal portion
  4. Multiply the remaining decimal by 60 to get seconds

For example, 45.75 degrees converts to 45°45'0" because:

  • 0.75 × 60 = 45 minutes
  • There are no remaining decimal minutes to convert to seconds

Note: This calculator handles both positive and negative angles, which are important for geographic coordinates.

Conversion Formula

The exact formula for converting decimal degrees to degrees-minutes-seconds is:

Degrees = floor(decimal degrees) Minutes = floor((decimal degrees - Degrees) × 60) Seconds = (decimal degrees - Degrees - (Minutes / 60)) × 3600

Where floor() represents the mathematical floor function that rounds down to the nearest integer.

Worked Examples

Example 1: Simple Conversion

Convert 34.5678° to DMS:

  1. Degrees = floor(34.5678) = 34°
  2. Minutes = floor((34.5678 - 34) × 60) = floor(3.408) = 3'
  3. Seconds = (34.5678 - 34 - (3/60)) × 3600 ≈ 24.48"

Final result: 34°3'24.48"

Example 2: Negative Angle

Convert -12.3456° to DMS:

  1. Degrees = floor(-12.3456) = -12°
  2. Minutes = floor((-12.3456 - -12) × 60) = floor(20.736) = 20'
  3. Seconds = (-12.3456 - -12 - (20/60)) × 3600 ≈ 44.16"

Final result: -12°20'44.16"

Frequently Asked Questions

What is the difference between decimal degrees and degrees-minutes-seconds?

Decimal degrees represent angles as a single decimal number (e.g., 45.75°), while degrees-minutes-seconds break it into degrees, minutes, and seconds (e.g., 45°45'0"). DMS is often used in navigation and surveying for better readability of small angles.

How accurate is this conversion?

This calculator provides precise conversions to six decimal places, which is sufficient for most practical applications. The exactness depends on the precision of your input.

Can I convert minutes to degrees using this calculator?

No, this calculator specifically converts degrees to minutes. For the reverse conversion, use our Convert Minutes to Degrees Calculator.