Review the key concepts, formulae, and examples before starting your quiz.
🔑Concepts
A Pie Chart, also known as a circle graph, is a way of showing data using a circle divided into 'slices'. The entire circle represents the whole amount or the total frequency of the data collected.
The size of each slice represents its share of the total. Visually, a larger slice indicates a higher value, while a smaller slice indicates a lower value. If you see a slice that looks like a perfect 'L' shape starting from the center, it usually represents a quarter or of the total.
In a Pie Chart, a straight line passing through the center (the diameter) divides the circle into two equal parts. Each part represents exactly half or of the total data.
If a circle is divided by two perpendicular lines (lines crossing at a angle) through the center, it creates four equal sections. Each of these sections is called a 'quarter' and represents of the whole.
We can find the exact number for any slice by multiplying the fraction it represents by the total number. For example, if a chart represents children and the 'Apples' slice is of the circle, the number of children who like apples is .
The sum of all the slices in a Pie Chart always adds up to the whole. In terms of fractions, the sum of all parts is equal to . Visually, there are no gaps or overlaps between the slices.
Pie Charts are very useful for comparing parts of a group to the whole group at a single glance, such as comparing the number of students who walk to school versus those who take the bus.
📐Formulae
💡Examples
Problem 1:
A class of students was asked about their favorite fruit. The Pie Chart shows that of the students like Mangoes, like Apples, and like Bananas. Calculate the number of students for each fruit.
Solution:
- Total students = . \n2. Students who like Mangoes = students. \n3. Students who like Apples = students. \n4. Students who like Bananas = students. \nCheck: .
Explanation:
To find the number of students, multiply the total count by the fraction represented by each slice of the pie chart.
Problem 2:
In a library of books, a Pie Chart shows that Science books occupy of the chart. How many Science books are there in the library?
Solution:
- Total number of books = . \n2. Fraction of Science books = . \n3. Number of Science books = . \n4. Calculation: . \nSo, there are Science books.
Explanation:
Divide the total value by the denominator of the fraction to find the value represented by that specific part of the pie chart.