Degrees, Minutes, Seconds to Decimal Degrees Converter
Convert angles from degrees, minutes, seconds to decimal degrees with this interactive, accessible calculator.
Angle components
Minutes and seconds are normalized before applying the sign of the degrees field.
Results are rounded to four decimal places for deterministic comparisons.
How to use this converter
Enter the degrees, minutes, and seconds of any angle. Click Calculate or wait for the auto-updating pipeline to display the decimal-degree equivalent. Minutes and seconds remain inside the 0–60 range so geographic coordinates stay well-formed.
Methodology
The engine converts minutes to 1/60 of a degree and seconds to 1/3600, sums those fractions alongside the absolute degree magnitude, and finally reapplies the sign of the degree field to deliver the signed decimal degrees.
- Degrees may be negative to represent southern or western hemispheres while minutes and seconds are treated as positive offsets.
- Every conversion enforces safe parsing, value validation, and a consistent rounding strategy so the interface never shows NaN or Infinity.
- Decimal degrees are formatted to four decimals to ensure deterministic output across browsers.
Full original guide (expanded)
This calculator was originally introduced as a DMS to decimal-degree helper tailored to geographers, astronomers, and engineers needing precise angle conversions. The prior layout reiterated the three numerical inputs and highlighted that the result remained accurate to several decimal places.
The earlier audit notes reinforced the need to document the formula, verify the data sources, and keep the verified status visible. Those instructions remain embedded here with the same emphasis on formula accuracy and authoritative citations.