Question

a survey of 1000 adults uncovered some interesting housekeeping secrets. when unexpected company comes, where do we hide the mess? the survey showed that 60% of the adults toss their mess in the closet, 25% shove things under bed, 10% put things in the bathtub, and 5% put the mess in the freezer. make a circle graph to display this information.

Explanation:

Step1: Recall the formula for central angle

To make a circle graph (pie chart), we need to find the central angle for each category. The formula for the central angle of a category is $\text{Central Angle} = \text{Percentage} \times 360^\circ$.

Step2: Calculate central angle for closet

Percentage for closet is $60\% = 0.6$. So, central angle $= 0.6\times360^\circ = 216^\circ$.

Step3: Calculate central angle for under bed

Percentage for under bed is $25\% = 0.25$. Central angle $= 0.25\times360^\circ = 90^\circ$.

Step4: Calculate central angle for bathtub

Percentage for bathtub is $10\% = 0.1$. Central angle $= 0.1\times360^\circ = 36^\circ$.

Step5: Calculate central angle for freezer

Percentage for freezer is $5\% = 0.05$. Central angle $= 0.05\times360^\circ = 18^\circ$.

To draw the circle graph:

1. Draw a circle.
2. Use a protractor to mark the central angles calculated above for each category (closet: $216^\circ$, under bed: $90^\circ$, bathtub: $36^\circ$, freezer: $18^\circ$).
3. Label each sector with the corresponding category and percentage.

Answer:

To create the circle graph, calculate central angles: Closet ($216^\circ$), Under Bed ($90^\circ$), Bathtub ($36^\circ$), Freezer ($18^\circ$). Draw a circle, mark these angles with a protractor, and label each sector.