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In Mathematics / Middle School | 2014-03-31

Douglas wants to draw a circle graph showing the favorite colors of his friends. When he polled his friends, the responses were as follows:

- 25% said red
- 30% said blue
- 20% said green
- 10% said purple

The remaining friends chose colors other than red, blue, green, and purple, which will be grouped together in an "Other" sector.

What will be the degree measure of the "Other" sector?

Asked by AlixMcnatt655

Answer (3)

degree is 54 ;

Answered by energetickitter | 2024-06-13

The 'Other' sector on the circle graph will represent 15% of Douglas's friends, corresponding to a 54-degree section of the graph.
Douglas is creating a circle graph to represent his friends' favorite colors, and we need to determine the degree measure of the 'Other' sector. Given that a circle graph (also known as a pie graph ) has a total of 360 degrees, we can calculate the 'Other' sector by subtracting the given percentages from 100% and then finding the corresponding degree value of the remaining percentage. Douglas's friends' favorites are 25% red, 30% blue, 20% green, and 10% purple, totaling 85%. Therefore, the remaining 15% is for the 'Other' sector, and the corresponding degree measure is 0.15 multiplied by 360 degrees, which equals 54 degrees.
The degree measure for the 'Other' sector on the pie graph will be 54 degrees. This sector represents the friends who chose colors other than red, blue, green, or purple. When drawing a pie graph, it is important to use proportional sections for each category to show accurate relationships between different parts of the data set.

Answered by Anj17 | 2024-06-24

The degree measure of the 'Other' sector in Douglas's circle graph is 18 degrees, which represents the friends who chose colors other than red, blue, green, or purple. This is calculated from the total responses, resulting in 'Other' accounting for 5% of the total. Since a full circle is 360 degrees, the measure of the 'Other' sector is found by multiplying 5% by 360 degrees.
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Answered by Anj17 | 2024-12-10