Math

DMS to Decimal Degrees Converter

Convert degrees, minutes and seconds to decimal degrees.

Calculated Output

Decimal degrees (°) 41.563

Formula: dd = d + m/60 + s/3600

Step-by-Step Breakdown

1. Values used:

2. Degrees = 41 °

3. Minutes = 33 '

4. Seconds = 45 "

6. Decimal degrees = 41.563°

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The math behind it

Divide minutes by 60 and seconds by 3600, then add to the whole degrees.

41° 33' 45" = 41.5625°.

How do I handle negative angles?

Apply the sign to the whole result; minutes and seconds are always positive magnitudes.