Circle Graph Questions
Name:_________________________
Find the central angle(s).
1. A survey about the music program at a school found that 160 students wanted an after-school music
program, 400 students wanted music classes during the day, and 240 students thought that the school
should have no music program. If a circle graph were made from this data, what would be the measure
of the central angle for the "in-school" group?
2. Find the measure of the central angle that you would draw to represent 37% in a circle graph. Round to
the nearest degree, if necessary.
3. Find the measure of the central angle that you would draw to represent 20% in a circle graph.
Find the number of data pieces that make up a sector or find the total.
4.
Grade 7 students were surveyed to determine how many hours a day they
spent on various activities. The results are in the circle graph. About how much
time was spent on socializing and eating together?
5.

No student is enrolled in more than one foreign language class.

The number of students enrolled in Italian is 36.
Based on the graph and the given data, what is the total number of students
enrolled in foreign language classes?
6.
Ruben surveyed 180 students in his school to find each student’s favorite winter
sport. He recorded his results in the circle graph below.
Based on Ruben’s graph, what is the total number of students whose favorite sport
was either snowboarding or snow skiing?
7.
The manager of a theater surveyed 500 people to determine their favorite type of play.
Each person selected one type of play. The manager started to make the circle graph below
to show the results of her survey.
The percentage of people who selected drama was the same as the percentage of people
who selected mystery. Based on the information in the circle graph, what was the total
number of people who selected drama?
8.
Kelly asked 200 seventh-grade students to name their favorite team sport. She
made the graph below to record her results.
Based on the data in the graph, what was the total number of students who named
football as their favorite sport?
9.
The principal of Washington Middle School surveyed students to determine how they
got home from school on Monday. The graph below shows the results of this survey.
Of the students surveyed, 63 students said they walked home from school on Monday.
What was the total number of students surveyed?
10.
The circle graph shows the distribution of the ages of 24 team members.
What is the median age, in years, of the team members?