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