The amount of money spent by a family on various expenses is given in a table. If the family constructs a pie chart using these figures, what is the approximate measure of the central angel of the sector used to represent the percentage of total expenses spent on food? (chart: rent=$750, food=$575, utilities=$120, car loan=$450, medical=$65, entertainment=$120, credit card=$350, misc=$95...gives a total expenses as $2525).
Total number of degrees in the center = 360.
To get you started:
Rent: 750 / 2525 = 0.297 = 29.7%
360 * 0.297 = 106.9 = 107 degrees
Food: 575 / 2525 = 0.228 = 22.8%
360 * 0.228 = 82.08 = 82 degrees
I'm sure you can complete this pie chart. We'll be glad to check your work.
To find the approximate measure of the central angle of the sector used to represent the percentage of total expenses spent on food, we can follow these steps:
Step 1: Calculate the percentage of total expenses spent on food.
To do this, divide the expense on food by the total expenses and then multiply by 100:
Food Percentage = (Expense on Food / Total Expenses) * 100
Expense on Food = $575
Total Expenses = $2525
Food Percentage = (575 / 2525) * 100 ≈ 22.77%
Step 2: Calculate the central angle using the percentage.
To find the central angle, we use the formula:
Central angle = (Food Percentage / 100) * 360
Central angle = (22.77 / 100) * 360 ≈ 82.40 degrees
Therefore, the approximate measure of the central angle of the sector representing the percentage of total expenses spent on food is approximately 82.40 degrees.