SOLUTION: 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

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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
Answer by poliphob3.14(115) About Me  (Show Source):
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.
For example the area of the square will be:%2850%2F4%29%5E2=50%5E2%2F16, while the area
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
compare,50%5E2%2F16%3C50%5E2%2F12.56.