SOLUTION: Please help me to solve this A water sprinkler sprays water over a distance of 30ft. while rotating through an angle of 135 degrees. What area of lawn receives water?

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Question 1184190: Please help me to solve this
A water sprinkler sprays water over a distance of 30ft. while rotating through an angle of 135 degrees. What area of lawn receives water?
Answer by ikleyn(52800) About Me  (Show Source):
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Please help me to solve this
A water sprinkler sprays water over a distance of 30ft. while rotating through an angle of 135 degrees. What area of lawn receives water?
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Take the total area of the circle of the radius of 30 ft


    A = pi%2Ar%5E2 = 3.14%2A30%5E2  square feet.


and MULTIPLY it by the factor  135%2F360  to account for the circle'  SECTOR area.


So, your final formula and the numerical  ANSWER  are


    the area which receives water = 3.14%2A30%5E2%2A%28135%2F360%29 = 3.14%2A30%5E2%2A%283%2F8%29 = 1059.75 square feet  (rounded).

Solved.

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Notice that only   3%2F8   of the circle area receives water.