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?
