A survey about the student government program at a school finds the following results.
190 students like the program
135 students think the program is unnecessary
220 students plan on running for student government next year.
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.
I am not sure could someone help?
this has not been checked yet but if i am correct:
190 students = 125.5 degrees
135 students = 89.28 deg.
220 students = 145.22 deg.
total students: 545
Now, a whole circle is 360°, so
190/545 * 360 = 125.5°
and similarly for the other angles.
190/(190+135+220) = .3486 .3486*360 total degrees= 125.504
if you round that you get 126 degrees
To find the measure of the central angle for the group that likes the program in the circle graph, we need to determine the percentage of students who like the program out of the total number of students surveyed.
First, calculate the total number of students surveyed by adding the number of students who like the program and the number of students who think the program is unnecessary:
Total students surveyed = Number of students who like the program + Number of students who think the program is unnecessary
Total students surveyed = 190 + 135 = 325
Next, calculate the percentage of students who like the program out of the total:
Percentage = (Number of students who like the program / Total students surveyed) * 100
Percentage = (190 / 325) * 100
Now, we can find the measure of the central angle by multiplying the percentage by 360 (since there are 360 degrees in a circle):
Measure of central angle = Percentage * 360
Finally, round the answer to the nearest whole number:
Rounded measure of central angle ≈ Rounded(Percentage * 360)
By performing these calculations, you will be able to determine the measure of the central angle for the group of students who like the program in a circle graph.