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

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 

Using a ruler and a compass only, construct a $△ABC$ in which $AB=3.5 \mathrm{cm}, BC=6 \mathrm{cm}$ and $\angle ABC=120°$. 

Using a ruler and a compass only, construct a $△ABC$ in which $AB=3.5 \mathrm{cm}, BC=6 \mathrm{cm}$ and $\angle ABC=120°$. Draw a circle with $BC$ as diameter. Find a point $P$ on the circumference of the circle which is equidistant from $AB$ and $AC$. 

Using a ruler and a compass only, construct a $△ABC$ in which $AB=3.5 \mathrm{cm}, BC=6 \mathrm{cm}$ and $\angle ABC=120°$. Draw a circle with $BC$ as diameter. Find a point $P$ on the circumference of the circle which is equidistant from $AB$ and $AC$. Measure $\angle BCP$.