Question

Out of 1650 students represented in a pie chart, the central angle of the sector representing Arts students is 48°, number of students in the Arts stream is

• A. 240
• B. 220
• C. 200
• D. 280

Answer 1

The correct option is B

220

Let the number of students in the arts stream be x.
$\text{Central angle}=\frac{\text{Observation}}{\text{Total Frequency}}\times {360}^{\circ }$
${48}^{\circ }=\frac{x}{1650}\times {360}^0$
$\Rightarrow x=\frac{48\times 1650}{360}=220$
Hence, number of students in the arts stream is 220