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pre calc
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@extrinix
So, the equation of a circle looks like this. \(\color{tomato}{(x – h)^2 + (y – k)^2 = r^2}\) So, the center point that we are given is \((2,3)\), which would be your \(h\) and \(k\). \(\color{yellow}{(x - 2)^2 + (y – 3)^2 = r^2}\) Now, the tangent to the x-axis would be where the circle comes upon the axis, so presumably that would be \((3,0)\), which would make the radius \(2\). \(\color{lime}{(x - 2)^2 + (y – 3)^2 = 2^2}\) So now all you would do is solve what \(2^2\) is, which is \(4\). \(\color{cyan}{(x - 2)^2 + (y – 3)^2 = 4}\)
the equations is 4?
It's the whole thing, it states "equation".
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@mathplayer223 wrote:
the equations is 4?
(x−2)2+(y–3)2=4 is the equation
its incorrect
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