document.write( "Question 1199073: A sprinkler is set in a corner of a rectangular lawn 10 feet by 25 feet. If the maximum distance the sprinkler can reach is ten feet, what percentage of the lawn will be watered from this position? \n" ); document.write( "
Algebra.Com's Answer #832767 by htmentor(1343)\"\" \"About 
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Let W = the width of the lawn = 25 ft
\n" ); document.write( "Let L = the length of the lawn = 10 ft
\n" ); document.write( "The sprinkler will cover one quadrant of a circle of radius = L
\n" ); document.write( "The area of the sprinkler's coverage is pi*L^2/4
\n" ); document.write( "The area of the rectangular lawn is W*L
\n" ); document.write( "The fraction of the lawn covered by the sprinkler is pi*L^2/4/(W*L) = pi*L/(4*W)
\n" ); document.write( "The percentage is therefore pi*10/(4*25)*100 = pi*10 = 31.4%
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