FUNDAMENTALS OF BUSINESS MATHEMATICS AND STATISTICS I 4.13- To represent the data by circular diagram.
First we express each item as percentage of the aggregate.
Industries =127.00480.00×100 26.4=
Irrigation = 19.3
Agriculture = 20.8
Transports & Roads = 19.3
Miscellaneous = 14.2
Now 1% corresponds to 3.6 degrees. So the angles at the centre of the corresponding sectros are (in
degrees) :
Industries = 26.4 × 3.6 = 95.0
Irrigation = 19.3 × 3.6 = 69.5
Agriculture = 20.8 × 3.6 = 74.9
Transp. & Roads = 19.3 × 3.6 = 69.5
Miscellaneous = 14.2 × 3.6 = 51.1
Now with the help of compass and protractor (or diagonal scale) the diagram is drawn.
Note: Additions of all percentages of the items should be equal to 100 and also the addition of all the
angles should be equal to 360° (approx).
It two aggregates with their components are to be compared, then two circles are required to be drawn
having areas proportionate to the ratio of the two aggregates.