Question

Tick (✓) the correct answer:
If in the pie chart representing the number of students opting for different streams of study out of a total strength of 1650 students, the central angle of the sector representing arts students is 48° then what is the number of students who opted for arts stream?
(a) 220
(b) 240
(c) 275
(d) 320

Answer 1

(a) 220

$$\begin{gathered} \mathrm{Let}\mathrm{the}\mathrm{required}\mathrm{number}\mathrm{of}\mathrm{students}\mathrm{be}x. \\ \mathrm{Then}\mathrm{we}\mathrm{have}: \\ \left(\frac{x}{1650}\times 360\right)=48 \\ \Rightarrow \frac{360x}{1650}=48 \\ \Rightarrow x=\left(48\times \frac{1650}{360}\right) \\ \Rightarrow x=220 \\ \mathrm{Hence},\mathrm{the}\mathrm{number}\mathrm{of}\mathrm{students}\mathrm{who}\mathrm{opted}\mathrm{for}\mathrm{arts}\mathrm{stream}\mathrm{is}220. \end{gathered}$$