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.
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°.
To find the measure of the central angle for the group that likes the program, we first need to determine the total number of students surveyed.
The total number of students surveyed is the sum of the number of students who like the program, think the program is unnecessary, and plan on running for student government next year.
Total students surveyed = students who like the program + students who think the program is unnecessary + students planning on running for student government next year
Total students surveyed = 190 + 135 + 220
Total students surveyed = 545
Next, we can calculate the proportion or percentage of students who like the program out of the total surveyed.
Proportion = (students who like the program / total students surveyed) * 100
Proportion = (190 / 545) * 100
Proportion = 34.86%
To convert this into degrees, we can multiply the proportion by 360 (since there are 360 degrees in a circle).
Central angle = Proportion * 360
Central angle = 34.86% * 360
Central angle ≈ 125.5
Rounding to the nearest whole number, the measure of the central angle for the group that likes the program would be 126 degrees.
To find the measure of the central angle for the group that likes the program, you need to calculate the percentage of students who like the program out of the total number of students.
First, you need to calculate the total number of students surveyed by adding the number of students who like the program and the number of students who think the program is unnecessary:
Total number of students = 190 students + 135 students = 325 students
Next, you need to calculate the percentage of students who like the program:
Percentage of students who like the program = (Number of students who like the program / Total number of students) * 100
Percentage of students who like the program = (190 students / 325 students) * 100 ≈ 58.46%
Now, you can calculate the measure of the central angle for the group that likes the program by multiplying the percentage by 360 degrees (since a circle has 360 degrees):
Measure of the central angle = Percentage of students who like the program * 360 degrees
Measure of the central angle = 58.46% * 360 degrees ≈ 210.45 degrees
Rounding the answer to the nearest whole number, the measure of the central angle for the group that likes the program would be 210 degrees.