document.write( "Question 553984: This is a personal question, just wondering how i could solve it, however i will accept an answer.
\n" ); document.write( "If a beehive makes crops take less time to get to a harvesting stage, and a beehive covers a Circle with a radius of 13 Meters. How large of a square could i put inside of the Circle so that the most crop area was covered? I thought it would be 18 Meters x 18 meters, but it doesn't seem to work. Any Ideas?
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Algebra.Com's Answer #361187 by Theo(13342)\"\" \"About 
You can put this solution on YOUR website!
circle has a radius of 13 meters which means that the diagonal of a square that is inscribed in the circle will be 26 meters.
\n" ); document.write( "this means that a side of the square will be equal to 18.38477631
\n" ); document.write( "this means that the crop area to be covered will be 18.38477631^2 = 338 square meters.
\n" ); document.write( "the area of the circle itself will be equal to pi*r^2 = pi*13^2 = 530.9291585 square meters.
\n" ); document.write( "a picture of what i believe you are asking about is shown below:
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\n" ); document.write( "the sides of the square and the diagonal of the square form a right triangle.
\n" ); document.write( "in a right triangle, the hypotenuse is equal to the sum of the squares of each leg.
\n" ); document.write( "if you let s = the length of each leg, then you get:
\n" ); document.write( "s^2 + s^2 = 26^2 which gets you:
\n" ); document.write( "2s^2 = 676
\n" ); document.write( "divide both sides of this equation by 2 gets you:
\n" ); document.write( "s^2 = 338
\n" ); document.write( "take the square root of both sides of this equation to get:
\n" ); document.write( "s = 18.38477631
\n" ); document.write( "you were close but no cigars for you this time unless i misunderstood the problem.\r
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