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.
PLEASE ANSWER IN CLEAR ENGLISH!!!
To find the measure of the central angle for the group that likes the program, we need to first calculate the total number of students surveyed, which is the sum of those who like the program, those who think it's unnecessary, and those who plan on running for student government next year:
Total = 190 + 135 + 220
Total = 545
Next, we need to calculate the percentage of students who like the program, which is found by dividing the number of students who like the program by the total number of students surveyed and then multiplying by 100:
Percentage that likes program = (190/545) x 100
Percentage that likes program = 34.86
Therefore, the measure of the central angle for the group that likes the program, rounded to the nearest whole number, is 35.
A total of 440 students took part in the survey. Each student makes up 0.8181818182% of the central angle of the circle graph. You get to this number by dividing 360 degrees by 440 students. Then you simply multiply this number by 110 students (who liked the program).
0.8181818182%*110=90 degrees
is this right?
i don't know for sure but I got if off of Branily and it had 23 "hearts" or "Thanks" on it with a 4.8 star review for this answer.
To determine 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 find the total number of students surveyed by adding the number of students who like the program, think it's unnecessary, and plan on running for student government:
Total students surveyed = 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 by the total number of students surveyed, and then multiplying by 100:
Percentage of students who like the program = (Number of students who like the program / Total students surveyed) * 100
= (190 / 545) * 100
= 0.3486 * 100
= 34.86%
Now, to find the measure of the central angle for the group that likes the program, we can use the fact that a circle has 360 degrees. We multiply the percentage calculated above by 360:
Measure of the central angle for students who like the program = Percentage of students who like the program * 360
= 34.86% * 360
≈ 125.5 degrees
Rounding the answer to the nearest whole number as requested, the measure of the central angle for the group that likes the program in the circle graph would be approximately 126 degrees.