Big Ideas Math Integrated I, 2016
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Big Ideas Math Integrated I, 2016 View details
Maintaining Mathematical Proficiency
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Exercise 3 Page 329

Begin by finding the the angle measure for each section.

circle graph
Practice makes perfect

Consider the given table.

Favorite Subject Math Science English History
Students 8 5 7 4

The given table shows the results of a survey. We are asked to display the data in a circle graph. To do so, we first need to find the angle measure for each section of the circle graph by multiplying the fraction of students who have each favorite subject by 360^(∘). Note that there are 8+5+7+4=24 students in the survey. Let's do it.

Subject Angle Measure Simplify
Math 8/24*360^(∘) 120^(∘)
Science 5/24*360^(∘) 75^(∘)
English 7/24*360^(∘) 105^(∘)
History 4/24*360^(∘) 60^(∘)

These angle measures allow us to divide a circle into four sections with their corresponding sizes. Then we can label each section and title the circle graph. Let's do it!

circle graph