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. Help! I don't know how to explain this.
a circle is 360°
so, take the fraction of the total that like the program, and you get
190/(190+135+220) * 360 = 125.5°
wrong
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.
Step 1: Find the total number of students surveyed.
The total number of students surveyed is the sum of all the students who have responded to the survey:
Total students = 190 students who like the program + 135 students who think the program is unnecessary + 220 students who plan on running for student government next year.
Total students = 190 + 135 + 220 = 545 students
Step 2: Calculate the percentage of students who like the program.
To calculate the percentage, divide the number of students who like the program by the total number of students surveyed and multiply by 100.
Percentage = (Number of students who like the program / Total number of students surveyed) x 100
Percentage = (190 / 545) x 100 ≈ 34.86%
Step 3: Use the percentage to find the measure of the central angle.
In a circle graph, the central angle represents the proportion of the data. Since the percentage represents the proportion of students who like the program, the measure of the central angle for the group that likes the program is also approximately 34.86%.
Therefore, the measure of the central angle for the group that likes the program is approximately 35 degrees (rounded to the nearest whole number).
To find the measure of the central angle for the group that likes the program in a circle graph, we need to calculate the percentage of students who like the program out of the total number of students surveyed.
First, let's find the total number of students surveyed. From the given information, we know that 190 students like the program, 135 students think it's unnecessary, and 220 students plan on running for student government next year. To find the total, we can add these three numbers together:
Total number of students surveyed = 190 + 135 + 220 = 545
Next, let's 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 surveyed) * 100
In this case, it would be:
Percentage of students who like the program = (190 / 545) * 100 ≈ 34.86
So, approximately 34.86% of the students surveyed like the Student Government program.
Now, to find the measure of the central angle in the circle graph, we can convert this percentage into degrees:
Measure of the central angle = (Percentage of students who like the program / 100) * 360
Let's calculate it:
Measure of the central angle = (34.86 / 100) * 360 ≈ 125.496
Rounding this to the nearest whole number, the measure of the central angle for the group that likes the program would be 125 degrees.
Therefore, in a circle graph, the central angle for the group that likes the program would be approximately 125 degrees.