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?

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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.
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 168+56+28+14+14=280.

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