Question

the circle graph shows how the annual budget for a company is divided by department. use this graph to answer the questions below. (a) which department gets approximately one - third of the annual budget? (b) approximately what percentage of the budget goes to editorial and sales combined? 10% 30% 50% 70%

Explanation:

Step1: Recall one - third of a circle

A full circle is \(360^{\circ}\). One - third of \(360^{\circ}\) is \(\frac{1}{3}\times360 = 120^{\circ}\). Looking at the circle graph, the "Research" sector has a central angle close to \(120^{\circ}\).

Step2: Estimate the combined percentage of Editorial and Sales

The sum of the central angles of Editorial and Sales sectors: assume the central angle of Editorial is about \(30^{\circ}\) and of Sales is about \(90^{\circ}\) (by visual inspection of the circle graph). The total central angle is \(30 + 90=120^{\circ}\). Since a full - circle is \(360^{\circ}\), the percentage is \(\frac{120}{360}\times100=\frac{1}{3}\times100\approx30\%\)

Answer:

(a) Research; (b) 30%