find the radius of a circle, if an arc of an angle 120 degree has length of 24 pi cm. also, find the area of the sector formed by this arc.

Dear student
Given length of an arc=24π cmAlso   arc makes an angle 120°We know that length of an arc of a sector of angle θ=θ360°×2πr=120°360°×2πrwhere r is the radius of the circleSo 24π=132πrr=4 cmSo area of the sector formed by this arc=θ360°×πr2=120°360°×227×42=35221cm2
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