Question

area of sector of a circle of r 36 cm is 54 π cm sq. find the length of corresponding arc of sector

Answer 1

given radius = r = 36 cm

area of the sector (A) = 54πcm²
lr/2= 54π [ ∵A = lr/2]
l= (54π*2)/r
= (54*π*2)/36
after cancellation
l= 3π cm

Answer 2

Fraction of Area of sector to the area of circle
        = π 54 cm² / (π 36²) cm²
        = 1/24

Length of the arc
      =  2 π 36 * 1/24
      = 3 π cm = 66/7 cm