startsomething

So a circle is a regular polygon with infinate sides. For the longest time people didn't believe me. So I tried to prove it to them. And this is what I came up with:

A=pi * r^2

A=1/2 * a * p (a = apothem or the distance from the center to perpendicular to an edge , p = perimeter)

a is the same as r

p is the same as C (circumference)

C is pi * D

and D is 2r

so....

A=1/2 * r * pi * 2 * r

A=pi * r^2

cool huh?

now I just have to figure out what pi is... really.

I think because circles have infinate sides, pi goes on forever. So does this mean that there is a constant like pi for every regular polygon, that is not infinate? hmmm....

Whatcha think?

A=pi * r^2

A=1/2 * a * p (a = apothem or the distance from the center to perpendicular to an edge , p = perimeter)

a is the same as r

p is the same as C (circumference)

C is pi * D

and D is 2r

so....

A=1/2 * r * pi * 2 * r

A=pi * r^2

cool huh?

now I just have to figure out what pi is... really.

I think because circles have infinate sides, pi goes on forever. So does this mean that there is a constant like pi for every regular polygon, that is not infinate? hmmm....

Whatcha think?