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.
To find the measure of the central angle for the group that likes the program, we need to first calculate the total number of students surveyed:
Total surveyed = 190 (students who like the program) + 135 (students who think the program is unnecessary) + 220 (students planning on running for student government) = 545
Next, we can calculate the percentage of students who like the program:
Percentage of students who like the program = (190/545) x 100% = 34.86%
To convert this percentage to a central angle, we can use the formula:
Central angle = percentage x 360 degrees
Central angle for the group that likes the program = 34.86% x 360 degrees = 125 degrees
Rounding to the nearest whole number, the measure of the central angle for the group that likes the program would be 125 degrees.