Question

The table below summarizes the 450 members of a university sorority by their majors. This information is also presented as a circle graph. Find the central angle measure, x°, for the engineer ring slice in the circle graph. Do not round.

Answer 1

Step 1: We have 450 members of a university sorority by their majors and there are 72 that are majoring Engineering. Therefore, the ratio of students that are majoring Engineering is:

72/450

Step 2: Let's recall that a circle has 360 degrees, thus for solving for x, we make the following calculation:

72/450 = x/360

450 * x = 360 * 72

450x = 25,920

Dividing by 450 at both sides:

450x/450 = 25,920/450

x = 57.6 degrees