Finding centre and radius of circle, given equation in general form

Finding centre and radius of circle, given equation in general form

Find the coordinates of the centre and radius of the circle \({{x}^{2}}+{{y}^{2}}-x-5y+4=0\).

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Answer:\(\text{Centre}\hspace{0.5em}\left(\dfrac12,\dfrac52\right),\quad r=\sqrt{\dfrac52}\)

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