area of sector of circle of radius 16 cm is 256cm^2 .find the lenght of corresponding arc of sector.

Dear Student,

Let θ be the sector angle.Now, radius of circle, r = 16 cmNow, area of sector of circle = 256 cm2θ360°×πr2 = 256θ360°×π×162 = 256θ = 360°πNow, length of arc = θ360°×2πr=360°π × 1360°  × 2 × π × 16=32 cm

Regards

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