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Update
Round Lake is located at 42°21'15" North, 88°6'2" West (42.354045, -88.100529).
According to the United States Census Bureau, the village has a total area of 9.3 square kilometers (3.6 square miles). 3.5 square miles (9.1 km²) of it is land and 0.1 square miles (0.2 km²) of it (1.68%) is water.