document.write( "Question 1089642: A circular field contains 10 acres. Determine length of fence to enclose the field.\r
\n" );
document.write( "\n" );
document.write( "Area of circle; pi * r^2.\r
\n" );
document.write( "\n" );
document.write( "Circumference of circle; pi * diameter.\r
\n" );
document.write( "\n" );
document.write( "Acre = 43560 sq. ft.\r
\n" );
document.write( "\n" );
document.write( "Not sure how to proceed. Non-homework. \n" );
document.write( "
Algebra.Com's Answer #703985 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "note how the \"acres\" units cancel. \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "There are 435600 sq ft in 10 acres\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The area of the circular field is 435600 square feet\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "------------------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Use this area value to find the radius\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Area of circle = pi*(radius)^2 \n" ); document.write( "A = pi*r^2 \n" ); document.write( "435600 = pi*r^2 \n" ); document.write( "435600/pi = (pi*r^2)/pi \n" ); document.write( "435600/pi = r^2 \n" ); document.write( "r^2 = 435600/pi \n" ); document.write( "sqrt(r^2) = sqrt(435600/pi) \n" ); document.write( "r = 372.365125 ... use a calculator for this step\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "------------------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The radius of the circle is approximately 372.365125 feet\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now that we know the radius, we can compute the circumference C\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "C = 2*pi*r \n" ); document.write( "C = 2*pi*372.365125 \n" ); document.write( "C = 2,339.639082 ... use a calculator for this step\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "------------------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "You'll need roughly 2,339.639082 feet of fencing\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Rounded to the nearest whole number, you'll need 2,340 feet of fencing\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |