Mathematics
Grade 6
15 min
Circle graphs
Circle graphs
Tutorial Preview
1
Introduction & Learning Objectives
Learning Objectives
Identify the components of a circle graph, including the title, legend, and sectors.
Interpret data presented in a circle graph to answer questions about categories and proportions.
Calculate the percentage represented by each sector in a circle graph given the part and the whole.
Use percentages from a circle graph to find the number of items in a category when the total is known.
Compare different categories within a circle graph based on their sizes or percentages.
Explain what a circle graph represents (the whole) and why percentages are used.
Have you ever wondered how to quickly see what part of a whole something represents, like how many students prefer pizza over burgers? 🍕🍔 Circle graphs are perfect for that!
In this lesson, you'll learn...
2
Key Concepts & Vocabulary
TermDefinitionExample
Circle Graph (Pie Chart)A type of graph that uses a circle divided into sectors (slices) to show how parts of a whole are distributed. Each sector represents a category, and its size shows its proportion to the whole.A circle graph showing favorite fruits might have a large slice for 'apples' if many people chose them, and a smaller slice for 'bananas'.
SectorA 'slice' of the circle graph. Each sector represents a specific category of data, and its size is proportional to the quantity or percentage it represents.In a circle graph about pet ownership, the slice labeled 'Dogs' is a sector, and its size tells you how popular dogs are compared to other pets.
WholeIn a circle graph, the entire circle represents the total amount or 1...
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Core Formulas
Calculating Percentage of a Part
$$ \text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100\% $$
Use this rule to find what percentage a specific category (part) makes up of the total amount (whole). This is crucial for understanding the proportion of each sector.
Calculating Part from Percentage and Whole
$$ \text{Part} = \left( \frac{\text{Percentage}}{100\%} \right) \times \text{Whole} $$
Use this rule to find the actual number or quantity of items in a category when you know its percentage and the total number of items (the whole).
Total Percentage Rule
$$ \text{Sum of all percentages in a circle graph} = 100\% $$
This rule reminds us that all the parts (sectors) together must add up to the entire whole, which is always 100%.
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Challenging
A survey of 150 students asked about their favorite school subject. 45 chose Math, 30 chose Science, and 60 chose English. The rest chose History. What percentage should the 'History' sector be on a circle graph?
A.10%
B.15%
C.20%
D.25%
Challenging
A circle graph shows that the 75 students who chose the color red represent 30% of the total students surveyed. How many students chose blue, which represents 40% of the total?
A.80 students
B.90 students
C.100 students
D.110 students
Challenging
A family's monthly budget is on a circle graph. 'Rent' is 35% and 'Groceries' is 20%. The actual dollar amount spent on Rent is $300 more than the amount spent on Groceries. What is the family's total monthly budget?
A.$1,500
B.$2,000
C.$2,500
D.$3,000
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