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Decimal Degrees and DMS Converter — result sheet
Convert a signed decimal-degree coordinate to degrees-minutes-seconds or convert DMS back to decimal degrees.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Decimal degrees = sign x (degrees + minutes/60 + seconds/3600).
Decimal degrees and DMS are two notations for the same angular coordinate. This converter preserves a signed north/east or south/west value but does not perform datum transformations or geocoding.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Conversion direction — 2 choices
- Decimal degrees — degrees; minimum -180; maximum 180
- DMS degrees — degrees; minimum -180; maximum 180
- DMS minutes — minutes; minimum 0; maximum 59.999999
- DMS seconds — seconds; minimum 0; maximum 59.999999
Worked example
| Input | Value |
|---|---|
| Conversion direction | decimal-to-dms |
| Decimal degrees | 40.7128 |
| DMS degrees | 40 |
| DMS minutes | 42 |
| DMS seconds | 46.08 |
40.7128 degrees = 40 degrees 42 minutes 46.08 seconds.
Assumptions and limits
- The signed result carries hemisphere direction separately in the user's coordinate convention.
- DMS minutes and seconds are between zero and 60, with degrees carrying the sign.
- No datum, projection, UTM, map correction, or location lookup is performed.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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