The pie chart, given here, shows the various expenses of a publisher in the production of a magazine.

What is the difference between the measures of the central angles of sectors for binding charges and paper cost?

Correct Answer: 28.8°

From the given pie chart, we can observe the percentage breakdown of various expenses incurred in the production of a magazine:

• Binding Charges: 18%
• Printing Charges: 35%
• Paper Cost: 10%
• Royalty: 15%
• Advertisement Charges: 18%
• Miscellaneous Expenses: 4%

We need to find the difference between the central angles representing Binding Charges and Paper Cost.

First, calculate the difference in percentage between binding charges and paper cost:

$\text{Percentage difference}=18\%-10\%=8\%$

Since the total central angle of a circle is 360° (which corresponds to 100%), the difference between the measures of their central angles can be calculated as:

$\text{Central angle difference}=\left(\frac{8}{100}\right)\times 360°$

$\text{Central angle difference}=\frac{2880}{100}°=28.8°$

Thus, the difference between the measures of the central angles of sectors for binding charges and paper cost is 28.8°.