Finding centre and radius of circle, given equation in general form
Finding centre and radius of circle, given equation in general form
Find the centre and radius of a circle that has the equation \(\left( 2x+5 \right)\left( x+2 \right)+\left( 2y+1 \right)\left( y-5 \right)=0\).
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Answer:\(\text{Centre}\hspace{0.5em}\left(-\dfrac94,\dfrac94\right),\quad r=\sqrt{\dfrac{61}{8}}=\dfrac{\sqrt{122}}4\)
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