A survey about the student government program at a school finds the following results:
190 students liked the program.
135 students think the program is unnecessary.
220 students plan on running for student government next year.
If a circle graph were made form this data, what would be the measure of the central angle be for the group who likes the program? Round your answer to the nearest whole number.
Please help I really don't understand what to do
awe thank you so much Steve!
To find the measure of the central angle for the group who likes the program, we first need to calculate the percentage of students who liked the program relative to the total number of students surveyed.
Step 1: Find the total number of students surveyed:
Total number of students surveyed = students who liked the program + students who think the program is unnecessary + students planning on running for student government next year
Total number of students surveyed = 190 + 135 + 220
Step 2: Calculate the percentage of students who liked the program:
Percentage of students who liked the program = (Number of students who liked the program / Total number of students surveyed) × 100
Step 3: Calculate the measure of the central angle for the group who likes the program:
Measure of the central angle = (Percentage of students who liked the program / 100) × 360
Let's plug in the values and solve the calculation:
Step 1: Total number of students surveyed = 190 + 135 + 220 = 545
Step 2: Percentage of students who liked the program = (190 / 545) × 100 = 34.86%
Step 3: Measure of the central angle = (34.86 / 100) × 360 ≈ 125.5
Rounding to the nearest whole number, the measure of the central angle for the group who likes the program is approximately 126 degrees.
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