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 form 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
First, we need to find the total number of students surveyed:
Total students = 190 + 135 + 220 = 545
Next, we need to find the percentage of students who like the program:
Percentage of students who like the program = (190/545) x 100% ≈ 34.86%
To find the measure of the central angle for this group, we can use the formula:
Central angle = (Percentage/100) x 360°
Central angle = (34.86/100) x 360° ≈ 125°
Rounded to the nearest whole number, the measure of the central angle for the group that likes the program is 125°.