Convert decimal degrees to degrees, minutes, seconds, and convert degrees, minutes, seconds to decimal degrees. If applicable, round to the nearest second or the nearest thousandth of a degree. 275.1005°

Key Concepts

Decimal Degrees

Decimal degrees are a way of expressing angles using a decimal format, where the whole number represents degrees and the decimal part represents a fraction of a degree. For example, 275.1005° indicates 275 degrees and a fraction of a degree, which can be converted into minutes and seconds for more precise measurements.

Degrees, Minutes, Seconds (DMS)

Degrees, minutes, and seconds is a traditional method of measuring angles, where one degree is divided into 60 minutes, and one minute is divided into 60 seconds. This format is often used in navigation and astronomy, allowing for a more granular representation of angles, especially when precision is required.

Conversion Between Formats

Converting between decimal degrees and degrees, minutes, seconds involves specific mathematical operations. To convert decimal degrees to DMS, the whole number is taken as degrees, while the decimal is multiplied by 60 to get minutes, and the decimal of the minutes is again multiplied by 60 to obtain seconds. Conversely, to convert DMS to decimal degrees, the seconds are divided by 3600, minutes by 60, and then summed with the degrees.