a survey about students government program at a school found that 120 students wanted an after school program and 240 students wanted durning school and 40 students wanted none, If a circle graph is made from this data, what would be the measure of the central angle for the after school group
120 + 240 + 40 = 400
360 / 400 = 0.9
120 * 0.9 = ______ degrees
108
To find the measure of the central angle for the after school group in the circle graph, you need to calculate the percentage of students who wanted an after school program.
First, find the total number of students surveyed:
Total number of students = 120 (after school) + 240 (during school) + 40 (none) = 400
Then, calculate the percentage of students who wanted an after school program:
Percentage = (Number of students in the after school group / Total number of students) * 100
Percentage = (120 / 400) * 100
Percentage = 30%
To convert this percentage into a central angle in the circle graph, you need to multiply it by 360 degrees (as there are 360 degrees in a circle):
Central angle = Percentage * 360 degrees
Central angle = 30% * 360 degrees
Central angle = 108 degrees
Therefore, the measure of the central angle for the after school group in the circle graph would be 108 degrees.