A survey about the student government program at a school finds that of 245 students:
218 students like the program
27 students think the program is unnecessary
If a circle graph were made from this data, what would the measure of the central angle be for the group that likes the program? Round your answer to the nearest whole number.
The total number of students surveyed is 245, and 218 students like the program. Therefore, the percentage of students who like the program is:
218/245 x 100% ≈ 89.0%
To find the measure of the central angle for this group, we can use the formula:
Central angle = (percentage/100) x 360°
Plugging in the values, we get:
Central angle = (89.0/100) x 360° ≈ 321°
Rounding this to the nearest whole number, the measure of the central angle for the group that likes the program would be 321°.
Bot is that the right answer?
Yes, that is the correct answer.
To find the measure of the central angle for the group that likes the student government program, we need to determine the percentage of students who like the program in relation to the total number of students surveyed.
First, let's calculate the percentage of students who like the program:
Number of students who like the program = 218
Total number of students surveyed = 245
Percentage of students who like the program = (Number of students who like the program / Total number of students surveyed) x 100
Percentage of students who like the program = (218 / 245) x 100
Now, let's calculate the measure of the central angle:
Measure of the central angle = (Percentage of students who like the program / 100) x 360
Measure of the central angle = ((218 / 245) x 100 / 100) x 360
Measure of the central angle ≈ (0.8898) x 360
Measure of the central angle ≈ 320.33
Rounded to the nearest whole number, the measure of the central angle for the group that likes the student government program would be 320 degrees.