Remember to show all of the steps that you use to solve the problem. Use the comments field to explain your work.

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 explain how to do this type of problem - I think it is 35% but I am not sure...

You are correct, if you convert 35% to a decimal. The answer is 0.35*360°

Please help me I've been trying for about an hour to do this now.

Is it just that I do 35x360? Please help.

where did you get 35% from??

To solve this problem, we need to first calculate the percentage of students who like the program. Then, we will use that percentage to find the measure of the central angle in the circle graph.

Step 1: Find the percentage of students who like the program.
To find the percentage, we need to divide the number of students who like the program by the total number of students surveyed, and then multiply by 100.
Percentage = (Number of students who like the program / Total number of students surveyed) * 100

In this case:
Number of students who like the program = 190
Total number of students surveyed = sum of all the students: 190 + 135 + 220 = 545

Percentage = (190 / 545) * 100 = 0.3486 * 100 ≈ 34.86%

Step 2: Find the measure of the central angle.
In a circle graph, the percentage is proportional to the measure of the central angle. So, we can calculate the central angle by multiplying the percentage obtained in step 1 by 360 (since there are 360 degrees in a circle).
Central angle = Percentage * 360/100

In this case:
Central angle = 34.86 * 360/100 = 125.496 ≈ 125

Therefore, the measure of the central angle for the group that likes the program is approximately 125 degrees.