190 students like The program 135 students think the program is a necessary 220 students plan on running for student government next year if a circle graph or made from this data, what would the measure of the central angle be for the group that likes the program?
Show the steps you used to get your answer
To find the measure of the central angle for the group that likes the program, we need to first determine the total number of students mentioned in the problem.
Total students = 190 (likes the program) + 135 (thinks it's necessary) + 220 (plan on running)
Total students = 545
Next, find the proportion of students who like the program by dividing the number of students who like the program by the total number of students:
Proportion of students who like the program = 190/545
Now, we need to convert this proportion into a percentage:
Percentage of students who like the program = (190/545) * 100 = 34.86% (approx.)
Finally, we need to find the measure of the central angle for a circle, which is based on a 360-degree circle. We multiply the percentage by 360 degrees to get the measure of the central angle:
Central angle = 34.86% * 360
Central angle = 0.3486 * 360
Central angle = 125.496
So, the measure of the central angle for the group that likes the program is approximately 125.5 degrees.