Re: Reason for the Center of the Circle??
From: Larry Hammick (larryhammick_at_OMIT-MEtelus.net)
Date: 01/27/05
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Date: Thu, 27 Jan 2005 07:10:37 GMT
<need4speed850@yahoo.com> wrote in message
news:1106802435.729286.46120@z14g2000cwz.googlegroups.com...
> Ok, I have a question regarding the Center of a Circle. Now, in math
> classes around the world, a circle formula is taught to students. This
> formula is derived from the distance formula.
>
> (x-h)^2 + (y-k)^2 = r^2
>
>
> Great. Now here's my million dollar question:
>
> WHY IS THE CENTER OF THE CIRCLE (H,K)???
>
> Who picked those coordinates and WHY???
By definition a circle is the set of points having some constant distance
from a given point, which is called the center. Given h,k,r, the equation
(x-h)^2 + (y-k)^2 = r^2
simply says that (x,y) has distance r from (h,k). That means h,k is the
center, or rather _a_ center. It remains to show that 3 or more points
cannot be equally distant from more than one other point, which is easy.
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