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 unnecessary

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.

218/245 * 360º = ?

To find the measure of the central angle for the group that likes the program, we first need to calculate the proportion of students who like the program.

Total number of students who participated in the survey = 245
Number of students who like the program = 218

Proportion of students who like the program = (Number of students who like the program) / (Total number of students) = 218 / 245 ≈ 0.8918

Since a circle has 360 degrees, the measure of the central angle for the group that likes the program can be calculated as:

Central angle = Proportion of students who like the program * 360 degrees ≈ 0.8918 * 360 ≈ 320.45 degrees

Rounding to the nearest whole number, the measure of the central angle for the group that likes the program is approximately 320 degrees.

To find the measure of the central angle for the group that likes the program, you need to calculate the percentage of students who like the program out of the total number of students. Here's how you can do that:

1. Add the number of students who like the program to the number of students who think it is unnecessary: 218 + 27 = 245.

2. Calculate the percentage of students who like the program by dividing the number of students who like it by the total number of students and multiply by 100: (218 / 245) * 100 = 89.387755102%.

3. Round the calculated percentage to the nearest whole number: 89%.

Therefore, the measure of the central angle for the group that likes the program, in a circle graph, would be approximately 89 degrees.

218/245 * 360º = 320º

Just copy and paste this equation
Goodluck!