Solved: A circular region is irrigated by a 20 meter long pipe, Mathematics

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A circular region is irrigated by a 20 meter long pipe

Question: A circular region is irrigated by a 20 meter long pipe, fixed at one end and rotating horizontally, spraying water. One rotation takes 5 minutes. A road passes 30 meters from the edge of the circular area. See Figure.

(a) How fast is the end of the pipe, P, moving?

(b) How fast is the distance P Q changing when θ is π/2? When θ is 0?

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Mathematics: A circular region is irrigated by a 20 meter long pipe

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