Coordinates Converter
This calculator converts geographic coordinates between decimal degrees and degrees, minutes and seconds (DMS), the two formats you will meet on maps, GPS units, surveying reports and mapping apps. It works both ways. In the first section, you enter a latitude and a longitude as decimal degrees, such as -41.2865 and 174.7762 for Wellington, and the tool instantly returns the equivalent DMS reading for each, for example 41 degrees, 17 minutes, 11 seconds south. In the second section, you do the reverse: enter degrees, minutes and seconds along with a hemisphere (south/west or north/east), and it converts these back into a single decimal degrees figure. Every field updates live as you type, so there is no submit button to click. This matters because latitude in New Zealand is always negative in decimal degrees, since the country sits in the southern hemisphere, while longitude is positive because New Zealand lies east of the prime meridian; getting the sign wrong can place a point on the opposite side of the globe. Use this tool when a mapping tool, land title, GPS device or spreadsheet gives you coordinates in a format your software will not accept, when you need to double-check a survey reading, or when you are plotting a location and need the format to match what your map provider expects.
How the conversion works
A coordinate in decimal degrees is a single number where the part before the point is the degrees and the part after is the fraction of a degree. To split it into minutes and seconds, multiply the fraction by 60 for the minutes, then multiply whatever is left over by 60 again for the seconds. The sign of the number sets the hemisphere.
Worked example
Wellington is about -41.2865 latitude. The degrees are 41. The 0.2865 times 60 is 17.19 minutes, so 17 whole minutes. The 0.19 minutes times 60 is about 11 seconds. With the negative sign, that is 41 degrees, 17 minutes, 11 seconds south.
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