I have often noticed something between distance formula:(adsbygoogle = window.adsbygoogle || []).push({});

[tex] d(P_1,P_2)=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

and equation of a circle:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

There appears to be a relation between the two. It seems as though both [tex]h,k[/tex] can be replaced with an [tex]x,y[/tex] (in the eqaution of a circle formula) and then placed in a radical to determine the square root of the radius, or the in other words the distance.

Is there some relation between the two, and why isn't it discussed in algebra courses? I think there is, but my high school teachers never touched on it and neither did my algebra professor.

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# Algebraic formulas

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