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

Answer 1

Total No. of Students = 1650 

Central Angle of sector representing Arts Student = 48° 

Let x be the no. of students opted for Arts Stream

Central Angle of Component = \(\frac{Value\,of\,Component}{Total\,Value}\times 360^\circ\)

48 = \(\frac{x}{1650}\times 360^\circ\)

X = \(\frac{48\times1650}{360}\)

= 220 

So, No. of Students opted for Arts Stream = 220.