document.write( "Question 448919: i have a wire of 50 cm in length. in which shape(triangle, square, rectangle, pentagon, circle, hexagon) i should bend it to get maximum enclosing area \n" ); document.write( "

Algebra.Com's Answer #308816 by poliphob3.14(115) $\"\"$ $\"About$

You can put this solution on YOUR website!
To get the maximum enclosed area you should bend the wire in circle's shape, because all these geometric shapes can circumscribed in the circle, thus their area is always smaller than the area of the circle.\r
\n" ); document.write( "\n" ); document.write( "For example the area of the square will be: $\"%2850%2F4%29%5E2=50%5E2%2F16\"$ , while the area \r
\n" ); document.write( "\n" ); document.write( "of the circle will be: $\"pi%2A%2850%2F%282%2Api%29%29%5E2=50%5E2%2F%284%2Api%29=50%5E2%2F12.56\"$ , if we \r
\n" ); document.write( "\n" ); document.write( "compare, $\"50%5E2%2F16%3C50%5E2%2F12.56\"$ . \n" ); document.write( "

\n" );