Max Area Formula?

[Wynand N]

Hi

Here's the problem. If you have a piece of steel flat bar or whatever of say 1000mm in length, how do one determine what shape will give max area.

For example;
if made in a square of 250mm x 250mm = 0.0625 m sq.

or reqtangular of 300mm x 200mm = 0.0600 m sq

or reqtangular of 350mm x 150mm = 0.0525 m sq

or diameter or 318 mm = 0.0794 m sq

Seems a circle work out the largest or am I mistaken?

[Skippy]

Wynand, if you mean wrap the bar around the area so the bar is the perimeter, then yes, the circle has the largest area.

[D'ARTOIS]

Pull a very thin wire and cover the surface of your liking. That will be a big surface! That's how Carthago was built.