Students at Danville High School were polled regarding their favorite drinks. 40% of the students preferred root beer. If this information is displayed in a circle graph, what is the measure of the central angle in the "Root beer" section?°
Question
Students at Danville High School were polled regarding their favorite drinks. 40% of the students preferred root beer. If this information is displayed in a circle graph, what is the measure of the central angle in the "Root beer" section?°
Solution
A circle graph, also known as a pie chart, represents data in a circular format where the entire circle represents the total data set. The total measure of a circle is 360 degrees.
To find the measure of the central angle for the "Root Beer" section, we need to calculate the percentage of students who preferred root beer as a portion of the total circle.
Given that 40% of students preferred root beer, we can calculate the central angle as follows:
40% of 360 degrees = 0.40 * 360 = 144 degrees
So, the measure of the central angle in the "Root beer" section is 144 degrees.
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