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 calculate the percentage of students who like the program and then convert it to degrees.
The total number of students surveyed is 190 + 135 + 220 = 545.
The percentage of students who like the program is:
(190/545) x 100% = 34.86%
To convert this percentage to degrees, we use the formula:
central angle = percentage x 360°
central angle = 34.86% x 360°
central angle ≈ 125° (rounded to the nearest whole number)
Therefore, the measure of the central angle for the group that likes the program is approximately 125 degrees.