DMS to Decimal Converter – degrees minutes seconds
This calculator converts DMS to decimal degrees: 40°30′36″ = 40.51°.
- Free converter with radians and gradians output and the exact formula.
Figures are estimates from this calculator’s standard formula — adjust the inputs in the tool below for your exact number.
How the DMS-to-Decimal Converter Works
Each minute is 1/60 of a degree and each second 1/3600, so the converter sums D + M/60 + S/3600 to produce decimal degrees — the format GPS receivers, GIS software and mapping APIs expect. The same value is also expressed in radians (decimal × π/180) for mathematics and in gradians (decimal × 200/180) for surveying. Example: 40°30′36″ = 40 + 0.5 + 0.01 = 40.51°.
- 1
Step 1
Enter the degrees
- 2
Step 2
Enter the minutes (0–59)
- 3
Step 3
Enter the seconds (0–59.999)
- 4
Step 4
Read decimal degrees, radians and gradians
Use Cases
Geocaching and GPS waypoint entry
Converting survey charts for GIS software
Trigonometry homework in radians
FAQs
How do I convert 40°30′36″ to decimal?
Why do GPS coordinates use decimal degrees?
How many radians is 180°?
What are gradians?
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