To convert the statement “1 cm equals to 100 KM” into RF scale, we need to determine the ratio between the actual distance and the representation on the map.
The RF (Representative Fraction) scale is expressed as a ratio, where the numerator represents the map distance and the denominator represents the actual distance.
In this case, the actual distance is 100 KM and the map distance is 1 cm. Therefore, the RF scale can be calculated as:
RF = Map distance / Actual distance
RF = 1 cm / 100 KM
Simplifying the units, we convert 100 KM to 100,000 meters:
RF = 1 cm / 100,000 meters
Since 1 meter is equal to 100 centimeters, we can further simplify the RF scale:
RF = 1 cm / (100,000 meters / 100 cm)
RF = 1 cm / 1,000 meters
Therefore, the RF scale for the statement “1 cm equals to 100 KM” is 1:1,000.
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