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.

1 answer

To find the central angle that represents the group that likes the program on the circle graph, we first need to calculate the total number of students surveyed:

Total surveyed = 190 + 135 + 220 = 545

The measure of the central angle for the group that likes the program can be found using the formula:

Central angle = (Number of students who like the program / Total surveyed) x 360°

Central angle = (190/545) x 360° = 124.77°

Rounding to the nearest whole number, the measure of the central angle for the group that likes the program on the circle graph would be 125°.