Math Problem Statement
In a poll of 300 preschoolers, 125 said they preferred chocolate ice cream, 71 said they preferred vanilla, 100 said they preferred cookies & cream, and 4 said they had never eaten ice cream.
If a pie chart were to be made showing the preference for each flavor, the central angle for the chocolate ice cream sector would be __________.
150°
5°
124°
41°
Solution
To find the central angle for the chocolate ice cream sector in a pie chart, we can use the following steps:
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First, we calculate the percentage of preschoolers who preferred chocolate ice cream:
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Then, multiply this percentage by 360° (the total degrees in a circle) to find the central angle for chocolate ice cream:
So, the central angle for the chocolate ice cream sector is 150°.
Would you like more details or have any questions?
Here are 5 related questions for you to explore:
- How would you calculate the central angle for vanilla ice cream?
- What is the central angle for cookies & cream ice cream in the pie chart?
- How would you calculate the percentage for each ice cream flavor in the pie chart?
- If another flavor was added, how would that change the central angles of the other sectors?
- How can you interpret a pie chart to compare different categories?
Tip: When working with pie charts, always remember the total of all the central angles should add up to 360°.
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Math Problem Analysis
Mathematical Concepts
Percentages
Proportions
Angles in Pie Charts
Formulas
Percentage = (Number of preferences / Total number of responses) × 100
Central angle = (Percentage of total) × 360°
Theorems
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Suitable Grade Level
Grades 6-8