Question

At State College last term, 61 of the students in a Physics course earned As, 89 earned Bs, 119 got Cs, 79 were issued Ds, and 70 failed the course. If this grade distribution was graphed on a pie chart, how many degrees would be used to indicate the A region? Round your answer to the nearest whole degree.

Answer 1

The number of degrees that would be used to indicate region A is 53°

Step-by-step explanation

Number of students with As = 61

Number of students with Bs = 89

Number of students with Cs =119

Number of students with Ds = 79

Number of students with F = 70

To find the number degrees that would be used to indicate A region, we will use the formula below:

`\text{ Region A in degre}e=\frac{Number\text{ of As}}{\text{Total number of student}}*360^o`

Number of As = 61

Total number of students = 61 + 89 + 119 + 79 + 70 = 418

Substitute the values into the formula and evaluate.

`A\text{ region in degre}e=(61)/(418)*360^o`
`=52.55885`
`\approx53^o\text{ to the nearest degre}e`

Therefore, the number of degrees ithat would be used to indicate region A is 53°