6. The circle graph below shows the favorite book genre of students; Poetry - 168 - purple Action and Adventure - 56 - blue Mystery - 28- green Poetry - 14 – orange Fantasy - 14 brown What Is the angle of the orange section?
6. The circle graph below shows the favorite book genre of students; Poetry - 168 - purple Action and Adventure - 56 - blue Mystery - 28- green Poetry - 14 – orange Fantasy - 14 brown What Is the angle of the orange section?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![**6. Circle Graph Analysis: Favorite Book Genres of Students**
The circle graph below displays the favorite book genres among students, with each section representing a different genre and its popularity:
- **Poetry:** 168 students (Purple)
- **Action and Adventure:** 56 students (Blue)
- **Mystery:** 28 students (Green)
- **Poetry:** 14 students (Orange)
- **Fantasy:** 14 students (Brown)
**Objective:**
Calculate the angle of the orange section.
**Explanation of the Graph:**
The circle graph, commonly known as a pie chart, visually represents the proportional distribution of favorite book genres based on student preferences. Each colored segment corresponds to a genre, with the angle of each section representing its proportion relative to the whole group.
**Instructions:**
To find the angle of the orange section:
1. Sum the total number of students: \(168 + 56 + 28 + 14 + 14 = 280\) students.
2. Determine the fraction represented by the orange section: \( \frac{14}{280} \).
3. Multiply the fraction by 360 degrees to find the angle:
\[
\text{Angle of orange section} = \left(\frac{14}{280}\right) \times 360^\circ
\]
Calculate this to determine the angle which accurately reflects the representation of students preferring the orange section genre in the circle graph.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2290854d-3ded-418a-b7d3-bbb200348eee%2Fb543aa0f-795c-49f2-8150-ae7b1283c505%2Fb7rwbnm_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**6. Circle Graph Analysis: Favorite Book Genres of Students**
The circle graph below displays the favorite book genres among students, with each section representing a different genre and its popularity:
- **Poetry:** 168 students (Purple)
- **Action and Adventure:** 56 students (Blue)
- **Mystery:** 28 students (Green)
- **Poetry:** 14 students (Orange)
- **Fantasy:** 14 students (Brown)
**Objective:**
Calculate the angle of the orange section.
**Explanation of the Graph:**
The circle graph, commonly known as a pie chart, visually represents the proportional distribution of favorite book genres based on student preferences. Each colored segment corresponds to a genre, with the angle of each section representing its proportion relative to the whole group.
**Instructions:**
To find the angle of the orange section:
1. Sum the total number of students: \(168 + 56 + 28 + 14 + 14 = 280\) students.
2. Determine the fraction represented by the orange section: \( \frac{14}{280} \).
3. Multiply the fraction by 360 degrees to find the angle:
\[
\text{Angle of orange section} = \left(\frac{14}{280}\right) \times 360^\circ
\]
Calculate this to determine the angle which accurately reflects the representation of students preferring the orange section genre in the circle graph.
Expert Solution
Step 1
From the given information, orange represents the number of students who like poetry which is given as 14.
The total number of students in the survey is .
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