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)![]() ![]() You can put this solution on YOUR website! 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% \n" ); document.write( " |