document.write( "Question 1173312: an enclosure is to be constructed having part of its boundary along an existing straight wall. the other part of the boundary is to be fenced in the shape of an arc of a circle. if 100m of fencing is available, what is the area of the largest possible enclosure? into what fraction of the circle is the fence bent? \n" ); document.write( "

Algebra.Com's Answer #798636 by ikleyn(52786) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "If you reflect the shape, which you are looking for, about the wall as a mirror,\r
\n" ); document.write( "\n" ); document.write( "you reduce the given problem to the following problem\r
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document.write( "    find a shape / (a figure) in the plane, which at given perimeter of 200 m\r\n" );
document.write( "    has maximum possible area.\r\n" );
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\n" ); document.write( "\n" ); document.write( "It is WELL KNOWN classic problem on finding maximum area at given perimeter, and its solution is known VERY WELL:\r
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document.write( "    The solution is a circle with the given circumference  (perimeter) of  200 m.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Keeping it in mind, every student of the 6th - 7th grade can complete the solution of the given problem\r
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\n" ); document.write( "\n" ); document.write( "The answer is     a semi-circle of the radius of    $\"200%2F%282pi%29\"$ = $\"100%2Fpi\"$ = $\"100%2F3.14159\"$ = 31.831 meters \r
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\n" ); document.write( "\n" ); document.write( "with the area of    $\"%281%2F2%29%2Api%2A%28100%2Fpi%29%5E2\"$ = $\"%281%2F2%29%2A%2810000%2Fpi%29\"$ = $\"5000%2F3.14159\"$ = 1591.551 square meters.\r
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\n" ); document.write( "\n" ); document.write( "Happy learning (!)\r
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\n" ); document.write( "\n" ); document.write( "For your education, see this Wikipedia article\r
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\n" ); document.write( "\n" ); document.write( "https://en.wikipedia.org/wiki/Area     , the section \"Circle area\".\r
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