Question

At State College last term, 71 of the students in a Physics course earned A's, 85 earned B's, 105 got C's, 100 were issued D's, and 60 failed the course. If this grade distribution was graphed on pie chart, how many degrees would be used to indicate the A region? Round your answer to the nearest whole degree, but do not include a degree symbol with your response.

Answer 1

To indicate the A region in the pie chart, approximately 61 degrees would be used.

Step-by-step explanation:

A pie chart is a circular chart divided into sectors that represent a proportion of the whole. To determine the number of degrees used to indicate the A region in the pie chart, we need to calculate the angle that corresponds to the proportion of students who earned A's out of the total number of students.

The total number of students is 71 + 85 + 105 + 100 + 60 = 421. The proportion of students who earned A's is 71/421. To calculate the angle, we multiply this proportion by 360 (the number of degrees in a circle):

A region angle = (71/421) * 360 = 61.24 degrees.

Answer 2

The answer is 61 degrees.

Step-by-step explanation:

There are 421 students in the Physics course, that will be represented in 360 degrees in the pie chart, each student will be represented by .85 degrees. Out of the 421 students in total, 71 earned an A, if each student is represented by .85 degrees, 71 students would represent 61 degrees (rounded answer).

61 degrees represents aproximately, one sixth of the pie chart, and 71 students represent aproximately one sixth of the total Physics course. That way we can verify the answer.