Find length of the arc of the circle of radius 4.2 cm with area of the sector 18.48 sq. cm.

Solution:

Area of sector = r × l 2

18.48 = 4.2 × l 2

18.48 = 2.1 × l

18.48 = l 2.1

l = 18.48 × 100 2.1 × 100

l = 1848 210

l = 8.8 cm

∴ The length of the arc is 8.8 cm