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. Also can you explain it to me, That would be awesome
Steve you’re wrong! Stop commenting on all of them you’re helping in the wrong way!
If the different categories have no overlap, then the angle would be that fraction of 360° representing the group of interest. In other words,
190/(190+135+220) * 360 ≈ 125.5°
To determine the measure of the central angle for the group that likes the program in the circle graph, we need to find the proportion of students who like the program out of the total number of students surveyed.
In this case, the total number of students surveyed is the sum of the students who like the program and the students who think the program is unnecessary:
Total surveyed = students who like the program + students who think the program is unnecessary
Total surveyed = 190 + 135 = 325
Now, we can calculate the proportion of students who like the program by dividing the number of students who like the program by the total surveyed:
Proportion = students who like the program / total surveyed
Proportion = 190 / 325 ≈ 0.5846153846153846
To convert the proportion to a percentage, we can multiply it by 100:
Percentage = Proportion × 100
Percentage = 0.5846153846153846 × 100 ≈ 58.462
Therefore, the measure of the central angle for the group that likes the program in the circle graph would be approximately 58 degrees when rounded to the nearest whole number.
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.
First, let's calculate the total number of students surveyed by adding the number of students who like the program (190), the number of students who think the program is unnecessary (135), and the number of students planning to run for student government next year (220):
Total = 190 + 135 + 220 = 545
Next, we can calculate the percentage of students who like the program by dividing the number of students who like the program (190) by the total number of students surveyed (545) and multiply it by 100:
Percentage = (190 / 545) × 100 = 34.86%
Now, to find the measure of the central angle for the group that likes the program, we can multiply the percentage by 360° (since a full circle is 360°):
Central Angle = 34.86% × 360° ≈ 125.46°
Rounded to the nearest whole number, the measure of the central angle for the group that likes the program is approximately 125°.