2 km = 2*105 cm
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1,800,000 cm
.01 Kilometers.
To find out how many kilometers 0.5 cm represents on the map, you can set up a proportion. Since 2 cm represents 50 km, you can write the proportion as 2 cm is to 50 km as 0.5 cm is to x km. Cross multiplying, you get 2 * x = 0.5 * 50. Solving for x, you find that 0.5 cm on the map represents 12.5 kilometers.
(40 kilometers) x (1000 meters/kilometer) x (100 cm/meter) = 4,000,000 cm
8.6 cm = 0.000086 km