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MHT CET 2022 Mathematics question

MathematicsApplication of DerivativesMHT CET 2022

20 meters of wire is available to fence of a flowered in the form of a circular sector. If the flowerbed is to have maximum surface are, then the radius of the circle is

Answer: (D)

Solution

Let the radius be and the angle of the sector (in radians). The wire is used for the perimeter: . Area . Then ,

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Question ID VK-093868