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 chart
Activity | 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 ice-cream 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 % |
Kesar-Pista | 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° |
Kesar-Pista | 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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