Question

At State College last term, a large number of students completed a Spanish course. 51 of the students earned As, 85 earned Bs, 121 got Cs, 92 were issued Ds, and 39 students failed the course. If this grade distribution was graphed on a pie chart, how many degrees would be used to indicate the F region?

Answer 1

To find the angle we first have to find the percentage that the F region fills. Thus, we have to divide the F region students (39) by the total (A+B+C+D+F):

`\text{Percentage = }(39)/(51+85+121+92+39)=0.1\text{ or 10\%}`

We also know that one complete turn is 360 degrees, which is 100%. Then:

100% ------------- 360 degrees

10% ------------- X degrees

`x\text{ = 360}*0.1=36\text{ degr}ees`

Answer: To indicate the F region would be used 36 degrees.