How to find the percentage of a sector from an angle

Practice Questions

Intermediate Geometry › How to find the percentage of a sector from an angle

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1

A circle graph is used to depict the results from a survey given to high school students regarding their favorite sport. The sector representing baseball measures 52 degrees. What percent of the high schoolers who took the survey prefer baseball over any other sport?

2

A circle graph represents the different types of pie you can find at a local bakery. The blueberry pie wedge measures 120 degrees, the apple pie wedge measures 110 degrees and the cherry pie wedge measures 130 degrees. What percent of pies in the bakery are either blueberry or cherry?

3

A circle graph represents the student population at a local high school. The sector representing boys measures 200 degrees. What percent of the high school is girls?

4

A survey was given to 300 local townspeople regarding their favorite local dish. The results of the survey are below, with the number of degrees of each sector representing each dish following.

Fried chicken, 87 degrees

Steak and potatoes, 75 degrees

Corned beef hash, 82 degrees

Chicken enchiladas, 94 degrees

Bison burger, 22 degrees

What percent of the local townspeople prefer a dish that includes chicken?

5

A pie chart represents the ages of children in a local basketball league. The data is shown below, with the age range of each sector followed by the number of degrees of that sector.

Ages 2-4, 20 degrees

Ages 5-7, 30 degrees

Ages 8-10, 100 degrees

Ages 11-13, 90 degrees

Ages 14-16, ? degrees

What percent of the children in the basketball league are between the ages of 14-16?

6

A sector of a circle has a central angle of . What percentage of the circle does the sector occupy?

7

A circle chart represents the survey results of the following question:

How many hours a week do you typically spend watching TV?

The results are below, with the sector title and the number of degrees of each sector following.

Less than 1 hour, 40 degrees

1-4 hours, 45 degrees

5-8 hours, 30 degrees

9-12 hours, 100 degrees

13-16 hours, 85 degrees

17 hours or more, 60 degrees

What percent of people surveyed watch TV for 9 or more hours a week?

8

A circle graph represents the demographics of a major US city. The data is shown below with the category followed by the number of degrees making up that category's sector.

Black or African-American: 100 degrees

Hispanic or Latino: 100 degrees

White: 80 degrees

Two or more races: ? degrees

What percent of the city's population classifies themselves as being 2 or more races?

9

A survey was given to 1,000 middle school students across the United States, asking them to choose their favorite subject in school. The results of the survey are below, with each subject followed by the number of degrees composing that subject's sector in the circle graph displaying this data.

Math, 75 degrees

English, 58 degrees

Science, 62 degrees

Social Studies, 100 degrees

Music, Art or PE: 65 degrees

What percent of students prefer a subject that is not Music, Art or PE?

10

Reference a map of major cities on the West Coast to help you with this question!

A survey was given to fans throughout the West Coast, asking them who their favorite team was. The results are below with the team name and the degrees making up the sector representing that team in a circle graph that displayed this data.

Team A: 123 degrees

Team B: 89 degrees

Team C: 36 degrees

Team D: 20 degrees

Other: 92 degrees

What percent of fans prefere Team A, C, or D?

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