Math Problem Statement

A sporting goods store in Ashland records its yearly revenue in each category of goods. 5% of revenue came from sales of camping equipment. If this information is displayed in a pie chart, what is the measure of the central angle in the "Camping" section?

Solution

To find the measure of the central angle for the "Camping" section in the pie chart, you can use the following formula:

Central Angle=(Percentage of Total Revenue100)×360\text{Central Angle} = \left(\frac{\text{Percentage of Total Revenue}}{100}\right) \times 360^\circ

Given that 5% of the revenue came from camping equipment, the calculation would be:

Central Angle=(5100)×360=0.05×360=18\text{Central Angle} = \left(\frac{5}{100}\right) \times 360^\circ = 0.05 \times 360^\circ = 18^\circ

So, the central angle for the "Camping" section in the pie chart is 18 degrees.

Would you like more details or have any questions?

Here are some related questions you might find helpful:

  1. How would the central angle change if the percentage were 10%?
  2. What would be the central angle for a category that makes up 25% of the revenue?
  3. How can you determine the percentage of revenue if you only know the central angle?
  4. If two categories each make up 15% of the revenue, what would be the sum of their central angles?
  5. How would the pie chart look if one category made up 50% of the revenue?

Tip: Remember that the sum of all central angles in a pie chart is always 360 degrees, representing 100% of the data.

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Math Problem Analysis

Mathematical Concepts

Geometry
Percentages
Pie Charts

Formulas

Central Angle = (Percentage of Total Revenue / 100) × 360°

Theorems

Angle Sum Theorem

Suitable Grade Level

Grades 6-8