📚 Practice With Worksheets
Practice interpreting circle graphs, finding a percent of a total, and connecting percents to part-to-whole relationships.
▶️ Learn With Videos
Review how to find a percent of a number and solve percent problems using circle graphs, equations, and proportions.
🛠️ How to Use This Tool
Read the question, locate the total in the center of the circle graph, and study the slice or slices named in the problem.
Enter a numerical answer and select Check Answer. After a valid attempt, the tool unlocks Reveal Answer and the option to show category counts.
Use the chart options to show or hide percents, allow harder percent values, select a question type, or create a new chart. Hiding percents can also be used for estimation practice.
🧠 Things to Notice
The full circle represents the total, or 100% of the data. Each slice represents one category and its share of the whole.
A larger slice represents a larger percent and a larger count when all slices come from the same total.
Questions may require finding one part, combining two categories, finding the complement of a category, or comparing two category counts.
📘 Vocabulary
Circle Graph: A graph that uses a circle divided into slices to show parts of a whole.
Pie Chart: Another name for a circle graph.
Total: The complete amount represented by the full circle.
Category: A group or choice represented by one slice of the graph.
Part: One portion of the total represented by a category.
Percent: A ratio that compares a quantity to 100.
Part-to-Whole Ratio: A comparison of one category to the complete total.
Proportion: An equation stating that two ratios are equivalent.
Complement: The portion not included in a selected category.
Difference: The result of subtracting one category count from another to compare them.
📐 Connecting Percents, Parts, and Totals
A circle graph shows how one total is divided into categories. All slices together represent 100% of the data.
To find a category count from its percent, write the percent as a decimal and multiply by the total:
\(\text{Percent as a decimal} \times \text{Total} = \text{Part}\)
The same relationship can be represented with a proportion:
\(\dfrac{\text{Part}}{\text{Total}} = \dfrac{\text{Percent}}{100}\)
For “not” questions, subtract the selected category from the total. For “or” questions, add the chosen categories. For comparison questions, subtract the smaller count from the larger count.
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