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
From Construction of Pie Chart to HOME PAGE
Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.

New! Comments
Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.