area of sector of a circle of radius 36cm is 54πcm².find the length of the corresponding arc of the circle
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Step-by-step explanation:
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Answer:
Step-by-step explanation:
Find the area of the circle:
Area = πr²
Area = π(36)² = 1296π cm²
Find the fraction of the sector:
Sector = 54π/1296π = 1/24
Find the length of the arc of the sector:
length of the arc = 1/24 x 2πr
length of the arc = 1/24 x 2π(36) = 3π cm
Answer: The length of the arc is 3π cm
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