Mathematics
Grade 6
15 min
Interpret circle graphs
Interpret circle graphs
Tutorial Preview
1
Introduction & Learning Objectives
Learning Objectives
Identify the title, categories, and percentages in a circle graph.
Determine the whole and parts represented by a circle graph.
Use percentages or fractions from a circle graph to compare different categories.
Calculate the actual quantity represented by a sector when given the total whole.
Answer questions and draw simple conclusions based on the data presented in a circle graph.
Understand that all sectors in a circle graph sum to 100% of the whole.
Have you ever wondered how your school principal knows what kind of lunch foods students like best? 🍕 They might use a circle graph to see everyone's preferences at a glance!
In this lesson, you'll learn how to read and understand circle graphs, also known as pie charts. These graphs are powerful...
2
Key Concepts & Vocabulary
TermDefinitionExample
Circle Graph (Pie Chart)A graph that shows how a whole is divided into different parts or categories. Each part is represented by a 'slice' or 'sector' of the circle.A circle graph showing how 100% of students travel to school (e.g., 40% walk, 30% bus, 20% car, 10% bike).
WholeThe entire amount or total quantity that the circle graph represents. It is always 100% of the data.If a graph shows favorite fruits of 50 students, the 'whole' is 50 students.
Sector (Slice)A section of the circle graph, shaped like a slice of pie, that represents a specific category or part of the whole.In a graph about favorite colors, the 'blue' section is a sector.
CategoryA distinct group or type of data being represented in the circle graph. Each s...
3
Core Formulas
Sum of All Parts
\text{Sum of all percentages in a circle graph} = 100\%
The percentages of all the categories (slices) in a circle graph must always add up to exactly 100%. This represents the entire whole.
Part of the Whole Calculation
\text{Quantity of Part} = (\text{Percentage of Part} \div 100) \times \text{Total Whole}
To find the actual number or quantity that a specific sector represents, convert its percentage to a decimal or fraction, then multiply it by the total number of items in the whole.
Visual Comparison Rule
\text{Larger Sector Area} \implies \text{Larger Proportion of the Whole}
Visually, the larger the 'slice' or sector of the circle graph, the greater the proportion or amount of the whole it represents. This allows for quick comparisons...
4 more steps in this tutorial
Sign up free to access the complete tutorial with worked examples and practice.
Sign Up Free to ContinueSample Practice Questions
Challenging
A circle graph shows the results of a favorite subject survey. It shows that 20% of students chose English, and you know that this represents 40 students. Based on this, how many students chose Math, which was favored by 30% of students?
A.30 students
B.50 students
C.60 students
D.200 students
Challenging
A circle graph shows a student's monthly spending from a $50 allowance: Snacks (40%), Video Games (30%), Savings (20%), Toys (10%). Which of the following conclusions CANNOT be proven by the data in the graph?
A.The student spends four times as much on snacks as on toys.
B.More than half of the allowance is spent on snacks and video games combined.
C.The student will spend their allowance the same way next month.
D.The student saves exactly $10 per month.
Challenging
In a survey about how students get to school, 75 more students take the bus than walk. The circle graph shows that Bus is 50% and Walk is 25%. What is the total number of students surveyed?
A.150
B.200
C.250
D.300
Want to practice and check your answers?
Sign up to access all questions with instant feedback, explanations, and progress tracking.
Start Practicing Free