Math Problem Statement

What is the measure of the central angle in the 'Printer paper' section of the pie chart?

Solution

To solve this problem, we need to calculate the central angle for the "Printer paper" section of the pie chart. The total central angle of a circle is 360°, and the percentage allocated to the "Printer paper" section is 15%.

The formula for calculating the central angle is:

Central angle=Percentage×360\text{Central angle} = \text{Percentage} \times 360^\circ

Substituting the given percentage:

Central angle=15%×360=0.15×360=54\text{Central angle} = 15\% \times 360^\circ = 0.15 \times 360^\circ = 54^\circ

Thus, the central angle for the "Printer paper" section is 54°.

Would you like further details or have any other questions? Here are some related questions:

  1. What is the central angle for the "Binder paper" section?
  2. How would you calculate the central angle for a custom percentage?
  3. What is the combined central angle for the "Graph paper" and "Binder paper" sections?
  4. If the total production shifts, how would that affect the central angles of each section?
  5. What is the method to visually confirm the percentage allocations on a pie chart?

Tip: Always check that the sum of all central angles in a pie chart equals 360° to ensure accuracy!

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Math Problem Analysis

Mathematical Concepts

Geometry
Percentages
Central Angles in Circles

Formulas

Central angle = Percentage × 360°

Theorems

Proportional relationships in pie charts
Sum of central angles in a circle is 360°

Suitable Grade Level

Grades 6-8