A survey about the student government program at a school finds that of 245 students:
• 218 students like the program
• 27 students think the program is unnecessary
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.
218/245 = 0.889
0.889 * 360 = 320 degrees
thank you I got the same answer! thanks :)
Well, let's see. 218 students out of 245 like the student government program. So, to find the measure of the central angle for that group, we can use a little mathematical magic.
First, we can find the percentage of students who like the program by dividing 218 by 245 and multiplying by 100. This gives us approximately 89.0%.
Now, to find the measure of the central angle, we can multiply this percentage by 360 (since a circle has 360 degrees). So, 89.0% of 360 degrees is 320.4 degrees.
But wait, we need to round our answer to the nearest whole number. So, let's put on our clown nose and give it a little twist. Rounded to the nearest whole number, the measure of the central angle for the group that likes the program is approximately 320 degrees. That's a whole lot of like! Keep on clowning.
To find the measure of the central angle for the group that likes the program, we need to calculate the percentage of students in that group.
First, let's calculate the total number of students in the group that likes the program:
Total number of students = students who like the program + students who think the program is unnecessary
Total number of students = 218 + 27
Total number of students = 245
Now, let's calculate the percentage of students in the group that likes the program:
Percentage of students = (students who like the program / total number of students) * 100
Percentage of students = (218 / 245) * 100
Percentage of students ≈ 89.0
Next, let's find the measure of the central angle for the group that likes the program:
Measure of central angle = percentage of students * 360° / 100
Measure of central angle ≈ 89.0 * 360 / 100
Measure of central angle ≈ 320.4
Rounded to the nearest whole number, the measure of the central angle for the group that likes the program would be 320 degrees.
To find the measure of the central angle for the group that likes the program, you need to determine the percentage of students who like the program out of the total number of students. Here's how you can do that:
1. Add up the number of students who like the program and the number of students who think the program is unnecessary: 218 + 27 = 245.
2. 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 and multiplying by 100: (218 / 245) * 100 = 88.98%.
Now, to determine the measure of the central angle, you can use the percentage you just calculated. In a circle graph, the central angle is equal to the percentage it represents out of 360 degrees. So,
3. Calculate the measure of the central angle by multiplying the percentage by 360 and rounding it to the nearest whole number: 88.98% * 360 ≈ 320.
Therefore, the measure of the central angle for the group that likes the program is approximately 320 degrees.