Question

area of a sector of a circle of radius 36 cm is 52 pi cm^2 .Find the length of the corresponding arc of the sector

Answer 1

Area of a sector with respect to the arc length is given as;
A = RL / 2   [where R is the radius and L is the Arc length]
52π = 36 L / 2   [by substituting the given data]
52π = 18 L  [upon simplification]
L = (52/18) π
L = (26/9) π
L = 2.8889 π cm (upon simplification)
L = 9.0757 cm (upon further simplification)

Hope this helps.