document.write( "Question 22494: Please solve this word problem:
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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
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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" );
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Algebra.Com's Answer #10947 by stanbon(75887)![]() ![]() ![]() 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( " |