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Convert to Degrees Minutes Seconds Calculator

Reviewed by Calculator Editorial Team

Convert decimal degrees to degrees, minutes, and seconds with this precise calculator. Learn the conversion formula and see visual examples.

How to Use This Calculator

This calculator converts decimal degrees to degrees, minutes, and seconds (DMS) format. Enter your decimal degree value in the input field, then click "Calculate" to see the converted result.

The conversion process involves separating the integer part of the decimal degree as degrees, multiplying the remaining decimal by 60 to get minutes, then multiplying the remaining decimal by 60 again to get seconds.

Conversion Formula

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

  1. Take the integer part of the decimal degree as degrees (D)
  2. Multiply the remaining decimal by 60 to get minutes (M)
  3. Take the integer part of the minutes as minutes
  4. Multiply the remaining decimal by 60 to get seconds (S)

The formula can be represented as: DMS = D° M' S"

For example, converting 45.75 degrees:

  • Degrees: 45
  • Remaining decimal: 0.75 × 60 = 45 minutes
  • Seconds: 0 × 60 = 0 seconds
  • Result: 45° 45' 0"

Example Conversions

Here are some example conversions to demonstrate how the calculator works:

Decimal Degrees Degrees Minutes Seconds
34.5678 34° 34' 4.08"
123.4567 123° 27' 24.12"
90.0 90° 0' 0"
0.1234 0° 7' 24.24"

Common Uses

Converting decimal degrees to degrees, minutes, and seconds is commonly used in:

  • Navigation and mapping applications
  • Surveying and land measurement
  • Geographic coordinate systems
  • Scientific measurements involving angles
  • Engineering and construction projects

This format is often preferred in fields where precise angular measurements are required.

Frequently Asked Questions

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

Decimal degrees represent angles as a single decimal number, while degrees, minutes, and seconds break the angle into degrees, minutes (1/60 of a degree), and seconds (1/3600 of a degree).

How accurate is this conversion?

This calculator provides precise conversions to the nearest second, which is sufficient for most practical applications.

Can I convert negative decimal degrees?

Yes, the calculator handles negative values by applying the same conversion process to the absolute value and preserving the sign.