Q.

The perimeter of the sector of a circle of radius 21 cm which subtends an angle of 60° at the centre, is:

1 22 cm  
2 43 cm  
3 64 cm  
4 462 cm  

Ans.

(3)

Let OAB be the given sector as shown in the figure.

Length of the corresponding arc, 

AB=60°360°×2πr=16×2×227×21=22 cmAB=22 cmPerimeter of the sector=OA+AB+BO=21+22+21=64 cm