Decimal degrees ↔ degrees minutes seconds

Two-way converter for decimal degrees (DD, e.g. 37.7749°) and degrees-minutes-seconds (DMS, e.g. 37°46′29.6″). Type in either input; the other updates.

Degrees / minutes / seconds
Equivalent
37° 46′ 29.640″ = 37.7749°

Why both formats exist

Decimal degrees are easier for software and APIs (Google Maps URLs, GPS exchange formats). Degrees-minutes-seconds is the traditional surveyor / navigator format, still used on official maps and in older GPS receivers.

Conversion formula

  • DD → DMS: degrees = floor(DD), minutes = floor((DD − degrees) × 60), seconds = (((DD − degrees) × 60) − minutes) × 60
  • DMS → DD: DD = degrees + minutes/60 + seconds/3600

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Angular unitsrad, deg, gon Scientifictrig functions