To determine the angle of the sector representing miscellaneous expenses in a pie chart, we need to know the proportion or percentage that these expenses constitute out of the total. The angle is calculated using the formula:

Angle = (Proportion of Category / Total) * 360°

Miscellaneous Expenses Sector Angle Calculation

The question asks for the angle of the sector for miscellaneous expenses. Although the specific data (like the total expenses or the amount/percentage of miscellaneous expenses) isn't provided here, we can determine the required proportion based on the options and the correct answer.

• The correct answer is $14.4^{\circ}$.
• This angle represents the 'miscellaneous expenses' sector.
• The total angle in a circle (pie chart) is $360^{\circ}$.

Calculating the Angle

The angle of a sector is found by multiplying its proportion of the whole by $360^{\circ}$. If $14.4^{\circ}$ is the correct sector angle for miscellaneous expenses, it implies a specific proportion:

• Let the proportion of miscellaneous expenses be $P$.
• The formula is: $ \text{Angle} = P \times 360^{\circ} $
• Substituting the correct answer: $ 14.4^{\circ} = P \times 360^{\circ} $
• Solving for $P$: $ P = \frac{14.4^{\circ}}{360^{\circ}} $
• $ P = 0.04 $

This means miscellaneous expenses account for 0.04, or 4%, of the total expenses. Applying this proportion back gives the angle:

Angle = $ 0.04 \times 360^{\circ} = 14.4^{\circ} $

Therefore, the angle of the sector for miscellaneous expenses is $14.4^{\circ}$.