THE MAP SCALE


What is a Map Scale
A scale is the relationship or ratio between the distance on the map and the true distance on the earth’s surface.
  Scale = Distance on map/distance on earths surface

Ways of Scale Representation
We can identify three ways of reprinting scale:
        i.            Statement scale,
      ii.            representative fraction scale and
    iii.            linear scale.

Statement Scale
This is the map scale stated in words. The scale may be stated verbally for example ‘one centimetre to one kilometre’.
Representative Fraction (R.F)
        i.            This is a means of expressing the relative size of a map or drawing in terms of a fraction.
      ii.            R.F scale is frequently expressed as a fraction with the numerator as one.
    iii.            The ratio means that one unit on the map represents a given number of units on the ground for instance, R.F 1/100,000 or as a ratio 1:100,000.
    iv.            This means that one unit on the map represents 100,000 units on the ground.
      v.            If the unit used is centimetres, it means that one centimetre on the map represents 100,000 centimetres on the ground (1 km. =1000m*100 cm)
Conversion can be done as follows:
One centimetre to two kilometres
              1 cm: 2 km
              1 cm: 2 x 100,000 or 1/200,000
              R.F =1:200,000
Linear Scale or Line Scale
a)      Is a line showing the distance on the map that represents a given distance on the ground.
b)      In many cases a linear scale is placed at the bottom of the map. It is divided into two sections.
c)      The large section to the right is divided into equal units from 0 towards the end of the scale to the right. e.g. 0 1 2 3 4 km.
d)     This is also called the primary section.
The small section or secondary section:
e)      This is a small section placed to the left of 0.
f)       It is subdivided into fractions indicating smaller units of measurements such as 0, 250, 500, 750 metres.
g)      m-1000-----500-----0----------1----------2-----------4----------5-km
Secondary section                                         Primary section

Conversion of One Scale into Another
According to McMaster (1978:6) a scale can be converted into another as follows:
        i.            Given the R.F or ratio, to find the number of centimetres to the kilometre divide by 100,000 (the actual number of cm in a km) by the denominator of the fraction e.g. 1/250.000 write 250,000/100,000 which gives 40 cm to a kilometer.

      ii.            Given the number of kilometres to a centimetre, to find the R.F: Multiply 100,000 by the number of kilometres to the centimetres and you will have the denominator of R.F e.g. two kilometres to the centimetre, write 2 x 100,000 which gives 1/200,000.


    iii.            Given the number of centimetres to the kilometre, to find the R.F: divide 100,000 by the number of centimetres to the kilometre in the scale. What you get is the denominator of the R.F. For instance five centimetres to the kilometre: Write 5/100,000, which gives 1/20,000.