Chipwich summer camp surveyed 100 campers to determine which lake activity is their favorite. The results are given in the table. 15 11 7 13 54. If a circle graph was constructed from the results. Which lake activity has a central angle of 46.8 degrees

1 answer

To determine which lake activity has a central angle of 46.8 degrees, we need to find the corresponding percentage of that activity.

First, we need to calculate the total number of respondents:

15 + 11 + 7 + 13 + 54 = 100.

Next, we can calculate the percentage of each activity by dividing the number of respondents by the total number of respondents, then multiplying by 100:

15/100 * 100% = 15%
11/100 * 100% = 11%
7/100 * 100% = 7%
13/100 * 100% = 13%
54/100 * 100% = 54%

To find which activity has a central angle of 46.8 degrees, we need to find the activity that corresponds to 46.8% of the total circle.

Let's calculate the size of 46.8% of the circle:

46.8/100 * 360 = 169.92 degrees.

From the given percentages, we can see that 54% corresponds to the lake activity that has the greatest percentage. However, this is more than 46.8%.

Therefore, the lake activity with a central angle of 46.8 degrees is not represented in the given data.