Pie Chart

A pie chart is a type of graph that represents the data in the circular graph. The slices of pie show the relative size of the data. It is a type of pictorial representation of data. A pie chart requires a list of categorical variables and the numerical variables. Here, the term “pie” represents the whole, and the “slices” represent the parts of the whole. 

What is a Pie Chart?

The “pie chart” is also known as “circle chart”, that divides the circular statistical graphic into sectors or slices in order to illustrate the numerical problems. Each sector denotes a proportionate part of the whole. To find out the composition of something, Pie-chart works the best at that time. In most cases, pie charts replace some other graphs like the bar graph, line plots, histograms, etc.

Formula

The pie chart is an important type of data representation. It contains different segments and sectors in which each segment and sectors of a pie chart forms a certain portion of the total(percentage). The total of all the data is equal to 360°.

The total value of the pie is always 100%.

To work out with the percentage for a pie chart, follow the steps given below:

  • Categorize the data
  • Calculate the total
  • Divide the categories
  • Convert into percentages
  • Finally, calculate the degrees

Therefore, the pie chart formula is given as

(Given Data/Total value of Data) × 360°

How to Create a Pie Chart?

Imagine a teacher surveys her class on the basis of their favourite Sports:

Football Hockey Cricket Basketball Badminton
10 5 5 10 10

The data above can be represented by a pie-chart as following and by using the circle graph formula, i.e. the pie chart formula given below. It makes the size of portion easy to understand.

Step 1: First, Enter the data into the table.

Football Hockey Cricket Basketball Badminton
10 5 5 10 10

Step 2: Add all the values in the table to get the total.

I.e. Total students are 40 in this case.

Step 3: Next, divide each value by the total and multiply by 100 to get a per cent:

Football                                 Hockey                        Cricket                   Basketball          Badminton
(10/40) × 100

=25%

(5/ 40) × 100

=12.5%

(5/40) ×100

=12.5%

(10/ 40) ×100

=25%

(10/40)× 100

=25%

Step 4: Next to know how many degrees for each “pie sector” we need, we will take a full circle of 360° and follow the calculations below:

The central angle of each component = (Value of each component/sum of values of all the components)✕360°

Football Hockey Cricket Basketball Badminton
(10/ 40)× 360°

=90°

(5 / 40) × 360°

=45°

(5/40) × 360°

=45°

(10/ 40)× 360°

=90°

(10/ 40) × 360°

=90°

Now you can draw a pie chart.

Step 5: Draw a circle and use the protractor to measure the degree of each sector.

Pie Chart Example

Examples

A pie chart can be used to represent the relative size of a variety of data such as:

  • The type of houses (1bhk, 2bhk, 3bhk, etc.) people have
  • Types of 2 wheelers or 4 wheelers people have
  • Number of customers a retail market has in all weekdays
  • Weights of students in a class
  • Types of cuisine liked by different people in an event

Uses of Pie Chart

  • Within a business, it is used to compare areas of growth, such as turnover, profit and exposure.
  • To represent categorical data.

Pie Chart Diagram

Also, check some important topics here:

Advantages

  • The picture is simple and easy-to-understand
  • Data can be represented visually as a fractional part of a whole
  • It helps in providing an effective communication tool for the even uninformed audience
  • Provides a data comparison for the audience at a glance to give an immediate analysis or to quickly understand information
  • No need for readers to examine or measure underlying numbers themselves, which can be removed by using this chart
  • To emphasize a few points you want to make, you can manipulate pieces of data in the pie chart

Disadvantages

  • It becomes less effective, if there are too many pieces of data to use
  • If there are too many pieces of data. Even if you add data labels and numbers may not help here, they themselves may become crowded and hard to read
  • As this chart only represents one data set, you need a series to compare multiple sets
  • This may make it more difficult for readers when it comes to analyze and assimilate information quickly

You can practice another pie chart question for Class 8, given below:

Practice Problem

Question: Priya lists down her monthly expenditure as follows:

Expenditure Amount
Rent 4000
Food 5400
Clothing 2800
Savings 400

Draw a pie chart for her monthly expenses.

You might also like to practice some more Mathematical topics. Download BYJU’S- The Learning App for a variety of topics and concepts to learn.

Frequently Asked Questions – FAQs

What is a pie chart?

A pie chart is a pictorial representation of data. The slices of pie here shows the relative sizes of data. Same data is represented in different sizes with the help of pie charts.

Why do we use pie charts?

Pie charts are used to represent the proportional data or relative data in a single chart. The concept of pie slices is used to show the percentage of a particular data from the whole pie.

How to calculate the percentage of data in the pie chart?

Measure the angle of each slice of the pie chart and divide by 360 degrees. Now multiply the value by 100. The percentage of particular data will be calculated.

How to find the total number of pieces of data in a slice of a pie chart?

To find the total number of pieces of data in a slice of a pie chart, multiply the slice percentage with the total number of data set and then divide by 100.
For example, a slice of the pie chart is equal to 60% and the pie chart contains a total data set of 150. Then, the value of 60% of pie slice is: (60×150)/100 = 90.

What are the examples of a pie chart?

There are many real life examples of pie charts, such as:
Representation of marks obtained by students in a class
Representation of kinds of cars sold in a month
To show the type of food liked by people in a room

Test your Knowledge on Pie Chart

3 Comments

  1. very helpful example.

  2. Thank you so much for your support

  3. Wow one of the clearest online math examples

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