• # question_answer The table shows the number of three different brands of laptops sold by a certain store. The data is represented by the pie chart which shows a semicircle divided into six equal sectors. Brand Number of laptops Acer 60 Dell 40 Compaq 20 What is the angle of sector representing the number of Dell laptops sold? A)          $\angle POR$                 B)                         $\angle ROV$                 C)                                         $\angle QOT$                 D)                         $\angle POU$

The semicircular region is divided into 6 equal parts (sectors). Therefore, each sector has a central angle of ${{30}^{o}}$. Angle of sector representing Dell laptops sold $=\frac{40}{120}\times {{360}^{o}}={{120}^{o}}=4\times {{30}^{o}}$ In the pie chart $\angle ROV=4\times {{30}^{o}}$ So, $\angle ROV$gives the angle of the sector representing the number of Dell laptops sold.