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Question

The area of a sector of a circle of 6 cm radius is 15π sq. cm. Find the measure of are and length of the arc corresponding to the sector.

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Solution

Area of sector =15πcm2
Area of sector =θ360×πr2
Hence,
15π=θ36×π×6×6
θ=150
Length of are =θ360×2πr
=150360×2×π×6
=5πcm


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