area of sector of circle of radius 16 cm is 256cm^2 .find the lenght of corresponding arc of sector. Share with your friends Share 6 Manbar Singh answered this Dear Student, Let θ be the sector angle.Now, radius of circle, r = 16 cmNow, area of sector of circle = 256 cm2⇒θ360°×πr2 = 256⇒θ360°×π×162 = 256⇒θ = 360°πNow, length of arc = θ360°×2πr=360°π × 1360° × 2 × π × 16=32 cm Regards 18 View Full Answer