Math Problem Statement

What are the angle measures for each movie type (Comedy, Horror, Romance, Drama, and Action) in a circle graph representing students' preferences for movie genres?

Solution

It appears you have uploaded a photo of a math problem related to constructing and interpreting a circle graph (pie chart). Let me analyze the content to provide an explanation and solution.


The table and chart in the image show a breakdown of student preferences for different movie genres, as follows:

  • Comedy: 100 students
  • Action: Likely filled but partially visible
  • Horror: 20 students
  • Romance: 41 students
  • Drama: Unclear (possibly missing data)

The chart instructs to:

  1. Calculate the angle measures for each category.
  2. Ensure the total circle equals 360°.

To calculate the angle for each section, use the following formula:

Angle=(Number of People for a CategoryTotal Number of People)×360\text{Angle} = \left( \frac{\text{Number of People for a Category}}{\text{Total Number of People}} \right) \times 360^\circ

Steps:

  1. Find the total number of students by summing up the given values: Total Students=100+20+41+Action + Drama (values pending)\text{Total Students} = 100 + 20 + 41 + \text{Action + Drama (values pending)}

  2. Compute the angle for each category: For each category, plug the number of students into the formula above to calculate its respective angle in the pie chart.


If you provide the missing values (Action and Drama), I can complete the calculations for you or clarify anything further!

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Geometry
Data Representation
Circle Graphs (Pie Charts)

Formulas

Angle = (Number of People / Total Number of People) × 360°

Theorems

Proportional Distribution in Circles

Suitable Grade Level

Grades 6-8