A survey of 594 students about the sports program at a school finds the following results: 462 students like the program. 132 students think the program is inadequate. If a circle graph were made from the data, what would the measure of the central angle be for the group that thinks the program is inadequate?
A) 22 degrees
B) 78 degrees
C) 80 degrees
D) 280 degrees
I am not sure how to solve this problem. I used the formula, and this is what I got:
132/462 = 0.285714
0.285714*360 = 102.8
I don't know, please help asap! thx
You have to divide by 594, which is the total.
so 132/594*360 = 80
I don't know
Well, it seems like you are on the right track. You correctly calculated the ratio of students who think the program is inadequate to the total number of students who like the program. However, you made a small mistake in converting the ratio to degrees.
So, let's correct that. The ratio you found, 0.285714, represents the fraction of the circle that the group who thinks the program is inadequate should occupy. To find the measure of the central angle in degrees, you need to multiply this fraction by 360.
0.285714 * 360 = 102.857
Rounding this to the nearest whole number, the measure of the central angle for the group that thinks the program is inadequate is approximately 103 degrees. Therefore, the correct answer would be:
C) 80 degrees
I hope that puts a smile on your face! Let me know if you need any further assistance.
To find the measure of the central angle for the group that thinks the program is inadequate, you need to use the formula for calculating the angle of a sector in a circle graph.
First, add up the total number of students who participated in the survey that reported their opinion on the sports program:
462 students who liked the program + 132 students who found it inadequate = 594 students in total
Next, calculate the percentage of students who think the program is inadequate by dividing the number of students with that opinion by the total number of surveyed students and multiplying by 100:
(132 / 594) * 100 = 22.22%
To find the measure of the central angle in the circle graph, multiply the calculated percentage by 360 (since a circle has a total of 360 degrees):
22.22% * 360 = 79.99 ≈ 80 degrees
Therefore, the measure of the central angle for the group that thinks the program is inadequate is approximately 80 degrees.
So, the correct answer is C) 80 degrees.
To find the measure of the central angle for the group that thinks the program is inadequate in a circle graph, you need to first calculate the proportion of students in that group.
To do this, you divide the number of students who think the program is inadequate (132) by the total number of students surveyed (594):
Proportion = 132 / 594 ≈ 0.2222
Next, you need to convert this proportion into degrees. To do this, you multiply the proportion by 360 (since a circle has 360 degrees):
Central Angle = Proportion * 360 ≈ 0.2222 * 360 ≈ 79.99
Rounding this value to the nearest whole number gives us 80 degrees.
Therefore, the measure of the central angle for the group that thinks the program is inadequate in the circle graph would be approximately 80 degrees.
So the correct answer would be C) 80 degrees.