document.write( "Question 858989: A garden path around a circular garden is 5 feet wide all they way around and the distance around the outside of the garden path is 80 feet. If a bag of gravel will cover an area of 10 square feet, how many bags of gravel will the gardener need to cover the path? Explain \n" ); document.write( "
Algebra.Com's Answer #517462 by mananth(16946)![]() ![]() You can put this solution on YOUR website! Diameter including walkway = 80 feet \n" ); document.write( "so radius = 40 feet\r \n" ); document.write( "\n" ); document.write( "the width is 5 feet \n" ); document.write( "so the garden radius = 35 feet\r \n" ); document.write( "\n" ); document.write( "Area of walkway = total area - garden area\r \n" ); document.write( "\n" ); document.write( "Total area = pi*r^2 \n" ); document.write( "=pi*40^2\r \n" ); document.write( "\n" ); document.write( "garden area = pi*35^2\r \n" ); document.write( "\n" ); document.write( "Difference = pi*40^2-pi^35^2\r \n" ); document.write( "\n" ); document.write( "=pi(40^2-30^2) \n" ); document.write( "= 121 sq.ft\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "10 sq.ft ----------------1 bag \n" ); document.write( "121 sq.ft ---------------?\r \n" ); document.write( "\n" ); document.write( "121/10\r \n" ); document.write( "\n" ); document.write( "=12.1 bags\r \n" ); document.write( "\n" ); document.write( "= 13 bags of gravel \n" ); document.write( " \n" ); document.write( " |