HoffyEd ← Data & Graphs

Circle Graphs

How do you spend your day? How did the class vote? When data splits one whole into parts, a circle graph (sometimes called a pie chart) shows each part as a slice. Learn how to read slices as fractions and percents, figure out how many are in each part, and make a circle graph of your own. Then practice with three activities.

1

Parts of a Whole

The whole circle stands for all of the data: every student surveyed, every dollar spent. Each slice is one category. The bigger the slice, the bigger that category's share of the whole.

A class of 24 students voted for their favorite season. Tap a slice to read it.

Our Favorite Season
24 students voted
Tap a slice to see what it means.
A circle graph is all about comparing each part to the whole. Here you can see right away that Summer got half of all the votes, and that Winter and Spring together got the other half.
2

Seeing Fractions in a Circle

A few slice sizes are easy to spot, and they help you estimate any slice:

Estimate by comparing. Is a slice bigger or smaller than a quarter? Than a half? If it's a little less than a quarter, it's a little less than 25% of the data.
3

Percents in a Circle Graph

Circle graphs are often labeled with percents. Percent means "out of 100," so the whole circle is 100%. That means all the slices must add up to exactly 100%.

Check it: favorite seasons
Summer 50% + Winter 25% + Spring 25% = 100%
The slices make one whole circle

If you know the total, you can use a slice's percent to find how many are in that part. Multiply the total by the percent written as a fraction.

Example: 40 students were surveyed, and 25% chose pizza. How many chose pizza?
25% = 25100 = 14
14 of 40 = 10
10 students chose pizza
Friendly percents to know: 50% is 12, 25% is 14, 75% is 34, 10% is 110, and 20% is 15. Use these to find amounts in your head.
4

Making a Circle Graph

To turn data into a circle graph, figure out what fraction of the whole each category is. Here's how 20 students got to school:

The steps
1. Find the total: 10 + 5 + 3 + 2 = 20 students.
2. Write each count as a fraction of the total. Bus is 1020, which is 12.
3. Change each fraction to a percent: 12 = 50%.
4. Draw each slice that size. A full circle turns 360°, so a slice that's half the circle is half of 360°, or 180°.
How We Get to School
20 students
Use a circle graph when…

the data splits one whole into parts, like how a group voted or how money was spent. The parts must add up to the whole.

Use a bar graph when…

you want to compare exact amounts across groups. Bar graphs make small differences easier to see.

Use a line graph when…

one thing changes over time, like temperature through the day. See Line Graphs.

5

Practice

Three ways to practice: read circle graphs, build them yourself, and match data to the right graph.

Read the Circle Graph

Use the slices, the percents, and the total to answer each question.

Question 1 of 10Score: 0

Build the Circle Graph

Drag the white handles around the circle to size each slice so it matches the table. Slices snap to steps of 5%.

Graph 1 of 4Score: 0
Each handle sits where one slice ends and the next begins. The first slice always starts at the top.

Match the Data

Look at the table, then pick the circle graph that shows the same data. No percents are printed, so compare the slice sizes!

Question 1 of 8Score: 0