Find the centre and radius of the circles.
$(x + 5)^{2} + (y - 3)^{2} = 36$

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Solution

The given equation of circle is
$(x + 5)^{2} + (y - 3)^{2} = 36 \Rightarrow (x + 5)^{2} + (y - 3)^{2} = (6)^{2}$
comparing it with $(x - h)^{2} + (y - k)^{2} = r^{2}$ we have
h = -5, k = 3 and r 6
Thus the coordinates of the centre is (-5, 3) and radius is 6.

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{(x + 5)}^{2} + {(y - 3)}^{2} = 36

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