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an acre is a measure of area whereas a kilometer is a measure of length, but a square kilometer is a measure of area, so I'll presume you meant square kilometers.
1 acre is approx 1/250 sq km = 0.004 sq km.
1 acre = 1/640 sq mile
1 mile ≈ 8/5 km
1 sq mi = 1 mi x 1 mi ≈ 8/5 km x 8/5 km = 64/25 sq km
→1 acre = 1/640 sq mi ≈ 1/640 x 64/25 sq km = 1/250 sq km = 0.004 sq km
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