I'm really confused on how to answer this question. Can someone help me to figure this out? Thank you

A survey about the student government program at a school finds that of 245 students:
-218 like the program
-27 students think this program is unnecessary.
If a circle graph were made from this data, what would the the measure of the central angle be for the group that likes the program? Round your answer to the nearest whole number.
Thank you

218/245 = 0.889 = 88.9%

0.889 * 360 = 320 degrees

So that's all to it?

Yes.

Thank you for your help Ms. Sue.

You're very welcome.

To answer this question, we need to find the percentage of students who like the student government program out of the total number of students surveyed. Then we can use that percentage to determine the measure of the central angle of the circle graph.

First, let's calculate the percentage of students who like the program. To do this, divide the number of students who like the program (218) by the total number of students surveyed (245) and multiply by 100 to get the percentage:

(218 / 245) * 100 = 88.9796

Rounding this to the nearest whole number, the percentage of students who like the program is approximately 89%.

Next, we need to find the measure of the central angle for the group that likes the program. Since the circle graph represents 100% of the data, we can directly translate the percentage to the measure of the central angle.

Therefore, the measure of the central angle for the group that likes the program is approximately 89 degrees.

I hope this explanation helps! Let me know if you have any further questions.