Question
If a budget is visually made into a pie chart and Rent accounts for 28.4% of a budget, what is its central angle measurement on the chart?
13.7°
102.2°
943.2°
72.7°
13.7°
102.2°
943.2°
72.7°
Answers
GPT-4o mini
To find the central angle for Rent in a pie chart, you can use the following formula:
\[
\text{Central angle} = \text{Percentage} \times 360^\circ
\]
In this case, Rent accounts for 28.4% of the budget.
\[
\text{Central angle} = 28.4\% \times 360^\circ = \frac{28.4}{100} \times 360^\circ
\]
Calculating this gives:
\[
\text{Central angle} = 0.284 \times 360^\circ = 102.24^\circ
\]
Rounding to one decimal place, the central angle measurement is approximately 102.2°.
Therefore, the correct answer is:
**102.2°**
\[
\text{Central angle} = \text{Percentage} \times 360^\circ
\]
In this case, Rent accounts for 28.4% of the budget.
\[
\text{Central angle} = 28.4\% \times 360^\circ = \frac{28.4}{100} \times 360^\circ
\]
Calculating this gives:
\[
\text{Central angle} = 0.284 \times 360^\circ = 102.24^\circ
\]
Rounding to one decimal place, the central angle measurement is approximately 102.2°.
Therefore, the correct answer is:
**102.2°**