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.
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
There are 545 students, so the central angle would be
190/545 * 360 = 125.5°
Rounding to the nearest whole number, the measure of the central angle for the group that likes the program would be 126°.
To find the measure of the central angle for the group that likes the program, we need to calculate the percentage of students who like the program out of the total number of students surveyed.
The total number of students surveyed can be found by adding the number of students who like the program and the number of students who think the program is unnecessary:
Total students surveyed = 190 (students who like the program) + 135 (students who think the program is unnecessary)
Total students surveyed = 325
Next, we can calculate the percentage of students who like the program out of the total number of students surveyed:
Percentage of students who like the program = (Number of students who like the program / Total students surveyed) * 100
Percentage of students who like the program = (190 / 325) * 100
Percentage of students who like the program = 58.46%
Finally, we can find the measure of the central angle for the group that likes the program in the circle graph:
Measure of the central angle = Percentage of students who like the program * 360°
Measure of the central angle = 58.46% * 360°
Measure of the central angle ≈ 209.25°
Rounded to the nearest whole number, the measure of the central angle for the group that likes the program is 209°.
To find the measure of the central angle for the group that likes the program, we need to first determine the total number of students surveyed.
The total number of students surveyed is the sum of the students who like the program and those who think the program is unnecessary.
Total number of students surveyed = 190 (students who like the program) + 135 (students who think the program is unnecessary)
Total number of students surveyed = 325
Next, we can calculate the measure of the central angle for the group that likes the program based on the proportion of students who like the program to the total number of students surveyed.
Measure of the central angle = (Number of students who like the program / Total number of students surveyed) * 360 degrees
Measure of the central angle = (190 / 325) * 360 degrees
Measure of the central angle ≈ 209.538 degrees
Rounded to the nearest whole number, the measure of the central angle for the group that likes the program would be 210 degrees.