110 students like the program.
120 students think the program is unnecessary.
210 students plan on running for student government next year.
If a circle graph were made from the data, what is the measure of the central angle for the group that likes the program.
I'm not sure what I have to do first? I could probably figure it out if I know the steps on how to solve it.
what on earth do the students who run for government have to do with this? Leave them out, part of another survey.
We asked 230 students about this program evidently
110 of them liked it
so
(110/230)(360 degrees) = 172 degrees
The choices are:
25 degrees
90 degrees
98 degrees
172 degrees
Do you multiply .25 x 440 to get the answer? (25 degrees)
To find the measure of the central angle for the group that likes the program, you need to follow these steps:
1. Add up the total number of students who like the program and the total number of students who think the program is unnecessary.
Total number of students who like the program: 110
Total number of students who think the program is unnecessary: 120
Total number of students: 110 + 120 = 230
2. Calculate the percent of students who like the program by dividing the number of students who like the program by the total number of students and multiplying by 100.
Percent of students who like the program = (110 / 230) * 100 ≈ 47.83%
3. Use the percent calculated in step 2 to find the measure of the central angle. Since a circle has 360 degrees, you can multiply the percent by 360.
Measure of the central angle = 47.83% * 360 ≈ 171.8 degrees
So, the measure of the central angle for the group that likes the program is approximately 171.8 degrees.
If you did include them all (I wonder how many government candidates liked the program?)
then
.25 * 360 = 90 degrees