Question:

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 .