document.write( "Question 1031232: There's a circular field. At the edge of the field is stake. Tied to the stake is a goat What is the formula to figure how long the needs to be to allow the goat the eat exactly half the area of the field? Griffox24@aol.com \n" ); document.write( "
Algebra.Com's Answer #645982 by rothauserc(4718)![]() ![]() You can put this solution on YOUR website! The area of a semi-circle is pi * r^2 / 2 \n" ); document.write( ": \n" ); document.write( "Suppose r is 4, then area of semicircle is 8pi \n" ); document.write( ": \n" ); document.write( "Let L be the length of rope tied to goat, then \n" ); document.write( ": \n" ); document.write( "piL^2 = 8pi \n" ); document.write( ": \n" ); document.write( "L^2 = 8 \n" ); document.write( ": \n" ); document.write( "L = 2square root(2) \n" ); document.write( ": \n" ); document.write( "The ratio is 2square root(2) / 4 = 0.71 \n" ); document.write( ": \n" ); document.write( "The length of rope is 0.71r, where r is the radius of the circular field\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |