SOLUTION: An irrigation system uses a straight sprinkler pipe r = 500 ft long that pivots around a central point as shown. Due to an obstacle the pipe is allowed to pivot through θ = 22

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Question 871182: An irrigation system uses a straight sprinkler pipe r = 500 ft long that pivots around a central point as shown. Due to an obstacle the pipe is allowed to pivot through θ = 220° only. Find the area irrigated by this system. (Round your answer to the nearest whole number.)
Answer by stanbon(75887) About Me  (Show Source):
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An irrigation system uses a straight sprinkler pipe r = 500 ft long that pivots around a central point as shown. Due to an obstacle the pipe is allowed to pivot through θ = 220° only. Find the area irrigated by this system. (Round your answer to the nearest whole number.)
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If it could turn in a complete circle
the area would be pi*500^2 ft
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Since it is restricted to turning 220 deg
the answer is (220/360)(pi*500^2) = (2/3)(pi*500) sq ft;
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Cheers,
Stan H.
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