Question

A survey question revealed that at a particular college 87 percent of students worked at least sometime during their undergraduate career and 13 percent did not work at all. Another question showed that 32 percent of the students worked throughout their undergraduate career. A pie chart is created that includes the category "Students who worked sometime during their undergraduate career, but not throughout." What would the central angle be for this category? A. 198 degrees B. 47 degrees C. 313 degrees D. 115 degrees

Answer 1

Answer:

The correct option is A. 198 degrees

Step-by-step explanation:

Consider the provided information.

87 percent of students worked at least sometime during their undergraduate career and 13 percent did not work at all.

Another question showed that 32 percent of the students worked throughout their undergraduate career.

87 percent  of the students worked at least sometime during the college. Out of them 32% worked throughout the college.

Therefore, the students who worked sometime during their undergraduate career, but not throughout are:

(87-32)% = 55% .

As we know the angle measure in circle  is 360 degrees.

55% of 360° is:

$\frac{55}{100}\times360= 198$

Hence, the measure of central angle would be 198 degrees

Therefore, the correct option is A. 198 degrees