Question from nonmatematician

[moje_ime]

Hello!

I am not matematician but I need a help.

Here is the question:

If the circle and hexagon have the same amplitude, which of these have greater area?

[InfiniteNow]

My guess would be the circle, as the hexagon will lose space with the sharp lines and corners, but the circle will have each little tiny arch of the curve included in it's area.

 

Confirmation anyone?

[IDMclean]

Here let me circle the issue here.

[moje_ime]

Confirmed? Or not?

[Turtle]

Hello!

I am not matematician but I need a help.

Here is the question:

If the circle and hexagon have the same amplitude, which of these have greater area?

 

The use of the term 'amplitude' here is incorrect without further specification.

For any given circumferential measure (loop of string), a circle bounds more area than any other plane figure.:confused:

[sanctus]

what do actually mean by amplitude?

[GAHD]

circles and spheres are the most efficient usages of surface are per volume in their respective dimensions. Are your thinking hexagon because of honey combs? hexagons simply aray better than spheres, and most honycombs start out as spheres but get forced into shape by the other combs built around them.

[Turtle]

circles and spheres are the most efficient usages of surface are per volume in their respective dimensions. Are your thinking hexagon because of honey combs? hexagons simply aray better than spheres, and most honycombs start out as spheres but get forced into shape by the other combs built around them.

 

Not spheres; cylinders. Right-circular-cylinders. Otherwise you have it right about the squishing into hexagonal form.