Question

I have another "proving" question, how can i prove a square is not a circle?

Answer 1

The area of a square isn't pir^2

Answer 2

A circle has no right angles while a square has four.

Answer 3

a square is a regular polygon of 4 sides. it has a fixed distance from the center of the square.
when an n sided polygon where the distance from the center remains the same but number of sides goes to infinity.
thus, a circle is a polygon with infinite sides, and a square is a polygon with 4 sides.

Answer 4

with smooth edges I can't picture it having any right angles.

Answer 5

a circle is defined where each point on it is equally distant from the center


a square is a 4 sided figure with all 4 sides equal to each other and all angles equal to each other (all equal to 90 degrees)

the distance from the center of a square to any vertex will be larger than the distance from the center to the midpoint of any side of the square. This can be proven using right triangles and the pythagorean theorem

because these two distances are not the same, this means that a square is not a circle.