Lesson 1, Topic 3
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# Map Scales

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#### Topic Content:

• Map Scales

Scale on a map is defined as the ratio of actual distance to distance on the map.

Map scale = $$\frac {actual \: distance}{distance \: on \: map}$$

Map scales are normally written in the ratio form 1 : 7 e.g. 1 : 50,000 means 1 cm represents 50,000 cm.

### Example 1.3.1:

Rewrite the scales in ratio form
a. 1 cm represents 10 m
b. 1 cm represents 20 cm
c. 1 cm represents 20 km

Solution:

a. 1 cm represents 10 m

both have different units:

change 10 m to cm.

1 m =  100 cm

∴ 10 m = 10 × 100 cm = 1000 cm

∴ 1 cm : 1000 cm

Scale = 1 : 1000

b. 1 cm represents 20 cm

both are in the same units

scale = 1 : 20

c. 1 cm represents 20 km

convert 20 km to cm

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