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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.
First, we need to find the total number of students surveyed:
190 (students who like the program) + 135 (students who think it is unnecessary) + 220 (students planning on running) = 545
Next, we need to find what percentage of the students surveyed liked the program:
190 / 545 = 0.3486 or 34.86%
To find the measure of the central angle, we need to convert this percentage to degrees:
0.3486 x 360 = 125.496
Rounding to the nearest whole number, the measure of the central angle for the group that likes the program would be 125 degrees.