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Circle Graph

By Dana Valdez

Learn about circle graphs and how to use them to solve problems. Find the definition, example problems, and practice problems at Thinkster Math.

Why is this concept useful?

Circle graphs, or pie charts, are used to represent data. The sectors in a circle graph are proportional to the percentages the data represents. The sum of all the sectors is one whole or 100%.

Where does this concept fit into the curriculum?

Grade 6

How can we use the concept:

We can use circle graphs to analyze data. Circle graphs can use fractions, percentages, or actual values of the given data.

Sample Math Problems

1. The circle graph shows the percent of each type of flower a nursery sells. What percent of flowers are not biennials?

Answer:

To solve, find the sum of the percent of flowers that are not biennials.

52% + 20% = 72%

72% of the flowers are not biennials.


2. An ice cream store recorded its weekly sales for the different flavors of ice cream it sells using a circle graph. What percentage of sales is chocolate chip?

Answer: The sum of all percents in a pie chart is 100%. Find the sum of the given percentages and subtract it from 100% to find the percentage of chocolate chip.

10% + 23% + 12% + 8% + 19% = 72%

100% - 72% = 28%

28% of sales is chocolate chip.


3. The circle graph shows the results of a survey of 96 students who were asked what their favorite hobby was. How many students chose stamp collecting?

Answer:

The circle graph shows a fraction of the total number of students surveyed. To solve, find ⅜ of 96.

⅜ x 96 = 36

36 students chose stamp collecting as their favorite hobby.


4. To celebrate his son’s birthday, Mr. Smith ordered 100 balloons to decorate the party hall. The circle graph represents each color balloon as a fraction of the total balloons.

Part A: What is the fraction of orange balloons?

Part B: How many orange balloons were there?

Answer:

For Part A, the sum of the fractions is 1. Find the sum of the given fractions, and subtract it from 1.

14\frac{1}{4}
+
14\frac{1}{4}
+
25\frac{2}{5}
=
1820\frac{18}{20}

1 -

1820\frac{18}{20}
=
220\frac{2}{20}
, simplify to
110\frac{1}{10}

110\frac{1}{10}
of the balloons are orange.

For Part B, find

110\frac{1}{10}
of 100.

110\frac{1}{10}
x 100 = 10

10 balloons are orange.



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Practice Math Problems

1. The circle graph shows the amount of time (in hours) Richard spent on a project each day during the week. On which day did Richard spend the most time on the project?

2. The circle graph shows the percent of sales for a company that was generated by each type of advertising that they used. What percent of sales was generated by online advertising?


3. The circle graph shows the results of a survey of 96 students who were asked what their favorite hobby was. How many less students chose reading books than photography as their favorite hobby?

4. The circle graph shows the amount of different juices used (in milliliters) to make 1 liter of fruit punch. How many milliliters of apple and grape juice was used in 3 liters of the fruit punch?

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