document.write( "Question 635952: A square garden has an area of 1024 squared feet, and the gardener wants to install a sprinkler (with a circluar spraying pattern) at the center of the garden. What is the minimum radius of spray the sprinkler would need in order to water all of the garden? \n" ); document.write( "
Algebra.Com's Answer #400654 by mananth(16946)![]() ![]() You can put this solution on YOUR website! Area = 1024 \r \n" ); document.write( "\n" ); document.write( "side^2=1024 \n" ); document.write( "side = sqrt(1024)\r \n" ); document.write( "\n" ); document.write( "side = 32\r \n" ); document.write( "\n" ); document.write( "Find the diagonal \r \n" ); document.write( "\n" ); document.write( "Half the doagonal is the radius to cover the entire square garden\r \n" ); document.write( "\n" ); document.write( "32^2+32^2= diagonal ^2 ( Pythagoras theorem)\r \n" ); document.write( "\n" ); document.write( "2048 = diagonal ^2\r \n" ); document.write( "\n" ); document.write( "diagonal = 45.25\r \n" ); document.write( "\n" ); document.write( "Radius = 45.25/2 \n" ); document.write( "radius = 22.625 feet \n" ); document.write( " \n" ); document.write( " |