document.write( "Question 22494: Please solve this word problem:
\n" ); document.write( " \"A goat is enclosed in a 2(3.14) acre fenced area on the shape of an equilateral trianlgle. It is tethered to a post at one of the trianlgle's vertices. To the nearest foot, determine the length of a rope which will allow the goat to eat only one half of the grass in these 2(3.14) acres.\"\r
\n" ); document.write( "\n" ); document.write( " I have tried to solve this problem using A=bh/2 but then I get stuck on the problem. Thank you for your help.
\n" ); document.write( "

Algebra.Com's Answer #10947 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
Draw the equilateral triangle.
\n" ); document.write( "Each angle is 60 degrees or 1/6 th of a circle.
\n" ); document.write( "The area of a complete circle is (pi)(radius)^2
\n" ); document.write( "You want your goat to eat a swath that is (1/6)(pi)(r^2)
\n" ); document.write( "and for that swath to equal (1/2)[2(3.14)]
\n" ); document.write( "Equation:
\n" ); document.write( " (1/6)(pi)(r^2)= (1/2)[2(3.14)]
\n" ); document.write( "3.14 is approximately equal to pi so divide both sides by pi
\n" ); document.write( " (1/6)r^2 = (1/2)(2)
\n" ); document.write( " r^2 = 6
\n" ); document.write( " r = sqrt6 =2.44 ft.\r
\n" ); document.write( "\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "
\n" );