A square kilometer is much smaller than a square mile. The number of square miles in a square kilometer is about 0.3861 square miles, or more roughly 0.4 square miles.
Rough calculation
1 mile = about 1.6 kilometers, so 1 square mile = about 2.6 km2. The inverse is 1/2.56 giving a slightly high estimate of 0.390625 square miles in a square kilometer.
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