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.
There are 545 students in all, so
190/545 * 360°
is oobleck right ?
To find the measure of the central angle for the group that likes the program, we need to calculate the percentage of students who like the program out of the total number of students.
First, find the total number of students:
Total Students = Students who like the program + Students who think the program is unnecessary + Students planning on running for student government
Total Students = 190 + 135 + 220
Total Students = 545
Next, calculate the percentage of students who like the program:
Percentage of students who like the program = (Students who like the program / Total Students) x 100
Percentage of students who like the program = (190 / 545) x 100
Percentage of students who like the program ≈ 34.86%
Now, calculate the measure of the central angle by using the percentage:
Measure of central angle = Percentage of students who like the program x 360°
Measure of central angle = 34.86% x 360°
Measure of central angle ≈ 125.50°
Rounded to the nearest whole number, the measure of the central angle for the group that likes the program is approximately 126°.