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Question

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?

Answer 1

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.