190 students like The program
135 students think the program was 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 show all the steps of how you got that answer
First, we need to find the total number of students.
Total students = 190 (likes) + 135 (unnecessary) + 220 (running for government)
Total students = 545
Now, let's find the fraction of students who like the program:
Fraction = number of students who like the program / total number of students
Fraction = 190 / 545
Now we need to find the central angle for this fraction. There are 360 degrees in a circle graph, so the central angle can be found by multiplying the fraction by 360 degrees:
Central angle = fraction * 360 degrees
Central angle = (190 / 545) * 360 degrees
Central angle = 0.3486 * 360 degrees
Central angle = 125.5 degrees
Rounded to the nearest whole number, the central angle for the group that likes the program is 126 degrees.