To find the measure of the central angle for the group that thinks the program is unnecessary, we need to first calculate the total number of students surveyed. We can do this by adding up all the students who responded:
110 (like the program) + 120 (think the program is unnecessary) + 210 (plan on running for student government next year) = 440
Next, we can calculate the percentage of students who think the program is unnecessary:
120 ÷ 440 × 100% ≈ 27.27%
To convert this percentage to an angle in degrees, we can use the formula:
Angle = Percentage ÷ 100% × 360°
Angle = 27.27 ÷ 100% × 360°
Angle ≈ 98°
Therefore, the answer is A. 98.
15. A survey about the student's government program at a school finds the following results:
110 students like the program
120 students think the program is unnecessary.
210 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 thinks the program is unnecessary?
A. 98
B.27
C.90
D.172
1 answer