I don't understand how to do this problem if someone can please help me to figure it out thank you.
A survey about the student government program at a school finds that of 245 students:
-218 students like the program
-27 students think the program is uncessary
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.
First we get the percentage of the students who liked the program:
(218 / 245) * 100 = 88.9796 %
Recall that a circle has a measure of 360 degrees. 360 degrees corresponds to the whole. Since 88.9796 % of the whole is the percentage of students who liked the program,
360 degrees * 88.9796 % = 320.33 degrees
hope this helps~ `u`
To find the measure of the central angle for the group that likes the program, we need to calculate the percentage of students who like the program out of the total number of students surveyed.
First, let's calculate the total number of students who do not like the program by adding the number of students who think it is unnecessary to the number of students who like it.
Total number of students who do not like the program = 218 + 27 = 245
Next, let's find the percentage of students who like the program by dividing the number of students who like it by the total number of students and multiplying by 100.
Percentage of students who like the program = (218 / 245) * 100
Therefore, the measure of the central angle for the group that likes the program would be approximately the calculated percentage.
Let's calculate it:
Percentage of students who like the program = (218 / 245) * 100
= 89.0 (rounded to one decimal place)
Rounding this percentage to the nearest whole number gives us 89.
Therefore, the measure of the central angle for the group that likes the program in the circle graph would be 89 degrees.