Graphical Representation


   
 
Pie Graph or Pie Chart
Sometimes a circle is used to represent a given data. The various parts of it are proportionally represented by sectors of the circle. Then the graph is called a Pie Graph or Pie Chart.
 
To find the angle of each sector
 
Total of data corresponds to 360o.
 
Let xo = the angle at the centre for item A, then
 
 
The data given in example 1 can be used to draw a pie graph.
 
Calculation of Angles
 
Food:
 
Angle at centre
 
= 150o
 
Rent:
 
Angle at centre
 
= 40o
 
Similarly we can calculate the remaining angles, and the total of angles column should always come to 360o.
 
 
 
 
A survey was conducted to find out the consumption of various brands of soap. The results of the survey are given below:
 
(i) Soap Cake:
 
 
(ii) Soap Powder:
 
 
(i) Using the information given in the table for soap cake, draw a pie chart.
 
(ii) Using the angles in the pie chart for soap powder, complete the table that follows:
 
 
 
(i) Draw Pie Chart
 
Total of the items = 100
 
A. Angle at centre
 
 
 
= 216o
 
B. Angle at centre
 
= 72o
 
C. Angle at centre
 
= 54o
 
Other Angle at centre
 
= 18o
 
 
 
(ii) Complete the table
 
For P,
 
 
 
 
Similarly
 
 
Same way we can calculate the values of R, S and others.
 
R = 25%, S = Others =
 
 
     
   
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