Question

At State College last term, 70 of the students in a Physics course earned As, 99 earned Bs, 110 got Cs, 99 were issued Ds, and 54 failed the course. If this grade distribution was graphed on a pie chart, how many degrees would be used to indicate the C region?Round your answer to the nearest whole degree.

Answer 1

Notice that 110 students out of the total number of students is the same as the number of degrees we are looking for out of 360 degrees.

Now, the total number of students is:

`70+99+110+99+54=432.`

Then, if x is the number of degrees that we are looking for, we can set the following equation:

`(x)/(360)=(110)/(432)\text{.}`

Multiplying the above equation by 360 we get:

`\begin{gathered} (x)/(360)*360=(110)/(432)*360, \\ x=91.666667\approx92. \end{gathered}`

Answer: 92 degrees.