A pie chart is a circular chart used to compare the sizes of data sets in relation to one another. Pie charts display information by dividing a circle into different-sized pieces to show each measurement. The slices of a pie chart are proportional to the different items in the data set; the larger the slice size, the higher the frequency of data in that category.
Pie charts look like the chart shown below.
Pie chart above shows the percentage of colours of bikes in a parking area
The circle (360 degrees) represents the whole and the separate parts (or sectors) fit together to make the whole (circle).
Let's try to understand Pie charts in detail. Below is a Pie chart showing a school decides to organize a special event for all Year 7 pupils in their last term of school. The pupils can choose just one of three different options.
The pie chart below shows the results.
What is the percentage of pupils choosing Museums?
From the chart, the angle of Pupil choosing Museum is 90°
Fraction of the total = Angle ÷ 360
Fraction of pupil choosing Museum = 90⁄360 = 1⁄4 = 25%
Hence the percentage of Pupil choosing Museum = 25%
Example:
The pie chart below represents the number of Students in three different classes in a school.
If the total number of students in all three classes is 72. Find the number of students in each class.
Solution:
Here , to find the number of students in each class we apply the below formula:
Angle⁄360 × Total or Percentage⁄100 × Total
Value of each sector = 360⁄72 = 5
Number of students in Year 6A =100⁄360 × 72 = 20
Number of students in Year 6B = 120⁄360 × 72 = 24
Number of students in Year 6B = 140⁄360 × 72 = 28
Example:
A supermarket chain sold 3600 packets of sausages last month.
The pie chart below shows the different varieties:
How many packets of Chicken sausage were sold?
Solution:
Given total packets =3600
From the Chart:
Angle⁄360° × Total or Percentage⁄100 × Total
Number of Chicken sausages packet sold =2⁄9 × 3600 = 800
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