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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?
First, we need to find the total number of students surveyed:
190 (like the program) + 135 (think the program is unnecessary) + 220 (plan on running for student government) = 545
Next, we need to find what percentage of the students surveyed liked the program:
190 ÷ 545 = 0.3486 or 34.86%
To convert this percentage to a central angle measure, we need to multiply by 360 (since there are 360 degrees in a circle):
0.3486 x 360 = 125.496 or approximately 125.5 degrees
Therefore, the measure of the central angle for the group that likes the program would be approximately 125.5 degrees.