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Question
Convert the statement scale 1 cm = 100 km into R.F. scale.
Numerical
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Solution 1
R.F. =`"Distance on map"/"Distance on ground"="1 cm"/"100 km"`
`="1 cm"/"10000000 cm" = 1:10000000` ...[∵ 1 km = 1000 m and 1 m = 10 cm]
∴ 100 km = 100 × 1000 × 100 = 10000000 cm
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Solution 2
1 km = 1000 m, 1 m = 100 cm
100 km = 100 × 1000 × 100 = 1,00,00,000 cm
Since RF = Distance on the map in cm
RF scale = `1/(1,00,00,000)`
= 1 : 100,00,000
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Use of Scales for Measurement
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