# math

posted by shaikha

area of a sector of a circle of radius 36 cm is 54 pie cm square . find the length of the corresponding arc of the sector

1. shaikha

2. Steve

can you not look up the formulas?

a = 1/2 r^2 θ, so
1/2 (36^2) θ = 54 pi (not pie!)
θ = 108π/1296 = 0.2618

now for the arc length,

s = rθ = 36 * 0.2618 = 9.42

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