The “pie chart” also is known as “circle chart” 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 of the cases, pie charts replace some other graphs like the bar graph, line plots, histograms etc.
Pie Chart 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°
Pie Chart Example
Imagine a teacher surveys her class on the basis of their favourite Sports:
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.
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:
|(10/40) × 100
|(5/ 40) × 100
|(10/ 40) ×100
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°
|(10/ 40)× 360°
|(5 / 40) × 360°
|(5/40) × 360°
|(10/ 40)× 360°
|(10/ 40) × 360°
Now you can draw a pie chart.
Step 5: Draw a circle and use the protractor to measure the degree of each sector.
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.
Advantages of a Pie Chart
- 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 of a Pie Chart
- It becomes less effective, If there are too many pieces of data to use
- If there are too many pieces of data, and 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:
Pie Chart Question
Question: Priya lists down her monthly expenditure as follows:
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 from.