Now we will discuss about the construction of pie chart or pie graph. In brief let us recall about, what is a pie chart?
It is a circular graph which is used to represent data. In this :
● Various observations of the data are represented by the sectors of the circle.
● The total angle formed at the centre is 360°.
● The whole circle represents the sum of the values of all the components.
● The angle at the centre corresponding to the particular observation component is given by
● If the values of observation/components are expressed in percentage, then the centre angle corresponding to particular observation/component is given by
How to construct a pie chart?
Steps of construction of pie chart for a given data:
● Find the central angle for each component using the formula given on the previous page.
● Draw a circle of any radius.
● Draw a horizontal radius
● Starting with the horizontal radius, draw radii, making central angles corresponding to the values of respective components.
● Repeat the process for all the components of the given data.
● These radii divide the whole circle into various sectors.
● Now, shade the sectors with different colours to denote various components.
● Thus, we obtain the required pie chart.
Solved example on
construction of pie chart/pie graph:1. The following table shows the numbers of hours spent by a child on different events on a working day.
Represent the adjoining information on a pie chartActivity  No. of Hours 
School  6 
Sleep  8 
Playing  2 
Study  4 
T. V.  1 
Others  3 
The central angles for various observations can be calculated as:
Activity  No. of Hours  Measure of central angle 
School  6  (^{6}/_{24} × 360)° = 90° 
Sleep  8  (^{8}/_{24} × 360)° = 120° 
Playing  2  (^{2}/_{24} × 360)° = 30° 
Study  4  (^{4}/_{24} × 360)° = 60° 
T. V.  1  (^{1}/_{24} × 360)° = 15° 
Others  3  (^{3}/_{24} × 360)° = 45° 
Now, we shall represent these angles within the circle as different sectors. Then we now make the pie chart:
2. The favourite flavours of icecream for the children in a locality are given in percentage as follow. Draw the pie chart to represent the given information
Flavours  % of Students Prefer the Flavours 
Vanilla  25 % 
Strawberry  15 % 
Chocolate  10 % 
KesarPista  30 % 
Mango Zap  20 % 
The central angles for various observations can be calculated as:
Flavours  % of Students Prefer the Flavours  Measure of Central Angles 
Vanilla  25 %  (^{25}/_{100} × 360)° = 90° 
Strawberry  15 %  (^{15}/_{100} × 360)° = 54° 
Chocolate  10 %  (^{10}/_{100} × 360)° = 36° 
KesarPista  30 %  (^{30}/_{100} × 360)° = 108° 
Mango Zap  20 %  (^{20}/_{100} × 360)° = 72° 
Now, we shall represent these angles within a circle to obtain the required pie graph.
● Statistics
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