# DMSString

DMSString[θ]

converts an angle θ given in decimal degrees to a degrees-minutes-seconds string.

DMSString[{ϕ,λ}]

converts latitude and longitude given in decimal degrees to a DMS latitude-longitude string.

DMSString[{d,m,s}]

converts a DMS list to a DMS string.

# Details • DMSString[θ,"NS"] or DMSString[θ,"EW"] gives a string representation in which the sign of the angle is indicated by one of the cardinal directions "N", "S", "E", or "W".
• DMSString[{ϕ,λ}] uses "N" for positive ϕ and "E" for positive λ.
• DMSString[θ,n] uses n-digit precision for seconds. DMSString[θ,{"XY",n}] defines both sign representation and precision.
• Angles in radians can be converted to degrees for use in DMSString by dividing by Degree.

# Examples

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## Basic Examples(2)

Convert an angle given in decimal degrees to a DMS string:

Convert to a DMS string that specifies one of the cardinal directions:

## Scope(4)

Convert a DMS list into a DMS string:

For exact input, the result also contains exact numbers:

By default, DMSString ignores signs:

They can be kept by using cardinal directions, either for latitude ("NS") or for longitude ("EW"):

Convert a numeric angle in degrees into a DMS string:

A signed angle:

By default, DMSString produces numbers with three decimals for seconds:

The number of digits can be decreased or increased:

The precision parameter only affects the results of inexact inputs:

## Generalizations & Extensions(3)

On DMS strings, DMSString returns a canonical form:

The choice of cardinal direction is still free:

Act on a GeoPosition object, returning a pair "lat long":

Convert a Quantity angle into a DMS string:

## Properties & Relations(3)

If the input contains any inexact number, the result will be inexact, always in the seconds:

Only when all numbers are exact will the result be exact:

The action of DMSString on a DMS list can be inverted with DMSList:

With exact numbers:

The action of DMSString on a numeric angle in degrees can be inverted with FromDMS:

With exact numbers, DMSString returns a numerical approximation:

Hence the original exact number cannot be directly recovered: