Find the centre and radius of each of the following circles :

The general form of the equation of a circle is:

$(x-h)^{2}+(y-k)^{2}=r^{2}$

Where, $(h, k)$ is the centre of the circle.

$r$ is the radius of the circle.

Comparing the given equation of circle with general form we get:

$\mathrm{h}=1 / 2, \mathrm{k}=-1 / 3, \mathrm{r}^{2}=1 / 16$

$\Rightarrow$ centre $=(1 / 2,-1 / 3)$ and radius $=1 / 4$ units.

Ans: centre $=(1 / 2,-1 / 3)$ and radius $=1 / 4$ units.