Construct a regular hexagon of side $4 \mathrm{cm}$. Construct a circle circumscribing the hexagon.

Given, a $△$$ABC$ with $BC=6.5 \mathrm{cm}, AB=5.5 \mathrm{cm}$ and $AC=5 \mathrm{cm}$ as shown below:

Construct an incircle of a $△ABC$.

Given, a $△$$\mathrm{ABC}$ with $\mathrm{BC}=6.5 \mathrm{cm}, \mathrm{AB}=5.5 \mathrm{cm}$ and $\mathrm{AC}=5 \mathrm{cm}$ with incircle in the figure below:

The radius of incircle is

Given, a $△$$\mathrm{ABC}$ with $\mathrm{BC}=6.5 \mathrm{cm}, \mathrm{AB}=5.5 \mathrm{cm}$ and $\mathrm{AC}=5 \mathrm{cm}$ with incircle in the figure below:

The coordinates of the centre of the circle are 

Given, a $△$$ABC$ with $BC=6.5 \mathrm{cm}, AB=5.5 \mathrm{cm}$ and $AC=5 \mathrm{cm}$ with incircle in the figure below:

The distance from centre of the circle to vertex $B$ of $△ABC$ is