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Decimal Degrees (DD) INPUT
DMS Result
40° 42' 46.08"
DMS INPUT
Decimal Result
0.0000°
How to Use This Calculator
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2
Calculate
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View detailed breakdowns and explanations below.
📘 Formats Defined
DD: 40.7128°
DMS: 40° 42' 46"
Decimal Degrees (DD): Used by computers and GIS software. Easier to do math with.
DMS: Used by humans, sailors, and surveyors. Dividing degrees into 60 minutes and 60 seconds mimics time.
🧠 The Math
- 1 Degree = 60 Minutes.
- 1 Minute = 60 Seconds.
- To go from DMS to Decimal:
D + (M/60) + (S/3600).
✍️ Worked Examples
Example 1: New York City
Coordinates: 40° 42' 46" N
Convert minutes: 42 / 60 = 0.70
Convert seconds: 46 / 3600 = 0.0127
Sum: 40 + 0.70 + 0.0127 = 40.7127°
✅ Key Takeaways
- There are 3600 seconds in a degree.
- Southern and Western hemispheres are often represented as negative numbers in DD format.
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