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? Round your answer to the nearest whole number.

Answer 1

Explanation:

To find the measure of the central angle for the group that likes the student government program in a circle graph, we need to determine what proportion of the total number of students surveyed this group represents. We can do this by adding up the number of students who like the program and the number of students who think it is unnecessary, since these two groups represent the total number of students surveyed. Then we can divide the number of students who like the program by the total number of students surveyed and multiply by 360, which is the total number of degrees in a circle.

Total number of students surveyed = 190 + 135 + 220 = 545

Proportion of students who like the program = 190 / 545 ≈ 0.3486

So the measure of the central angle for the group that likes the program would be:

0.3486 x 360 ≈ 125

Therefore, the measure of the central angle for the group that likes the student government program would be approximately 125 degrees in a circle graph.