why is circle round in shape ? why cant it be SQUARE ? prove using BPT..

i am just tring, don't take me wrong if it's wrong.
i think it should b proceeded like this:

Dear Kiran,

a circle is defines as : - 

A round plane figure whose boundary (the circumference) consists of points equidistant from a fixed point (centre).

When you join these points, it can't be a straight line. Hence it has to be a curve. Now when you go round all the possible points and join them up, it makes a circle.

Why circle cannot be square: - 

Now returning to the problem of squaring a circle. The area of a circle with radius 1 is exactly π. To construct a square with this area we must be able to construct a segment of length π. Numbers for which it's possible to construct (with a compass and a straightedge) a segment of that length are called constructible.



 

neat and detailed explanation rahul...!!

yeah

Dear student

a circle is defined as : - 

A round plane figure whose boundary (the circumference) consists of points equidistant from a fixed point (centre).

When you join these points, it can't be a straight line. Hence it has to be a curve. Now when you go round all the possible points and join them up, it makes a circle.

Why circle cannot be square: - 

Now returning to the problem of squaring a circle. The area of a circle with radius 1 is exactly π. To construct a square with this area we must be able to construct a segment of length π. Numbers for which it's possible to construct (with a compass and a straightedge) a segment of that length are called constructible.

Hope this helps u

Good explanation @ Rahul.