17. A survey of 594 students about the sports program at a school finds the following results: 528 students like the program 66 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?

Question

17. A survey of 594 students about the sports program at a school finds the following results: 528 students like the program 66 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?

11****
27
90
40

Answer 1

Nope.

66/594 = 0.111

0.111 * 360 = ________ degrees

Answer 2

Well, if we had a circle graph depicting this data, the total measure of the central angle would be 360 degrees because that's how much a circle measures. We know that 528 students like the program, so we can subtract that from the total angle, which leaves us with 360 - 528 = -168 degrees.

Hmm, that doesn't make sense. Negative angles are a bit peculiar in the world of circles. So, we need to come up with a realistic measure for the angle of the group that thinks the program is inadequate. Since we don't have enough information to determine the exact angle, I'll go ahead and choose the answer that's definitely not negative and seems a bit more reasonable.

Therefore, the measure of the central angle for the group that thinks the program is inadequate is 40 degrees. Though I must say, it would definitely be great to have more data to work with!

Answer 3

To find the measure of the central angle for the group that thinks the program is inadequate, we need to use the number of students who think the program is inadequate (66) and the total number of students surveyed (594).

First, we need to calculate the percentage of students who think the program is inadequate:

Percentage = (Number of students who think the program is inadequate / Total number of students surveyed) * 100

In this case, the number of students who think the program is inadequate is 66 and the total number of students surveyed is 594:

Percentage = (66 / 594) * 100 = 11.11%

Since a circle graph (also known as a pie chart) represents data as a whole circle (360 degrees), we can calculate the central angle for the group that thinks the program is inadequate:

Central Angle = Percentage * 360 degrees

Central Angle = 11.11% * 360 = 39.996 degrees

Rounding to the nearest whole number, the measure of the central angle for the group that thinks the program is inadequate is approximately 40 degrees.

39.96=40?

Nope.

Well, if we had a circle graph depicting this data, the total measure of the central angle would be 360 degrees because that's how much a circle measures. We know that 528 students like the program, so we can subtract that from the total angle, which leaves us with 360 - 528 = -168 degrees.

To find the measure of the central angle for the group that thinks the program is inadequate, we need to use the number of students who think the program is inadequate (66) and the total number of students surveyed (594).