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Nice catch, didn't even notice that.To OP,
Although BigBeachBanana is correct about the general equation of a circle, I would replace the k used in the above post with say J simply because the letter k is already being used in your equation for something else.
While it is perfectly correct that: [imath](x-h)^2+(y-k)^2=r^2[/imath], where [imath](h,k)[/imath] is the center of the circle and [imath]r[/imath] is the radius is, indeed, the General Equation of a Circle (Though, in my country, we teach: "[imath](x-a)^2+(y-b)^2=r^2[/imath], where [imath](a, b)[/imath] is the center of the circle and [imath]r[/imath] is the radius"; which gets round the "problem" alluded to in the two posts just above this ?) it may be of more use to you to use the "Expanded Form" of the General Equation.
Maybe I've one too many but I've always been uneasy about this description as it seems like an attempt to define the traditionally undefined element - the point....
A point circle is a circle with a radius of [imath]0.[/imath] ...
What if symbol a or b is already in use?in my country, we teach: (a,b) is the center of the circle and r is the radius"; which gets round the "problem" [of having symbol h or k already in use].
Then curiosity is called for.What if symbol a or b is already in use?
Not to mention redefining the circle!it seems like an attempt to define the traditionally undefined element - the point.
Would that work also for h and k?Then curiosity is called for.
Oh just delete my posts (rather than mangling them) if they offend you so much.Would that work also for h and k?
?
[imath]\;[/imath]
Come on Otis, the answer is obvious--just use h and k instead!What if symbol a or b is already in use?