Draw a regular hexagon of side$3.5 \mathrm{cm}$. Construct its circumcircle and measure its radius.

Use ruler and compass only for answering the question.

Draw a circle of radius $4 \mathrm{cm}$. Mark the centre as $\mathrm{O}$. Mark a point $\mathrm{P}$ outside the circle at a distance of $7 \mathrm{cm}$ from the centre. Construct two tangents to the circle from the external point $\mathrm{P}$.

Measure and write down the length of any one tangent.

Construct a tangent to a circle of radius $4 \mathrm{cm}$ from a point on the concentric circle of radius $6 \mathrm{cm}$ and measure its length. Also verify the measurement by actual calculation.

Draw a circle of radius $3 \mathrm{cm}$. Take two points $P$ and $Q$ on one of its extended diameter each at a distance of $7 \mathrm{cm}$ from its centre. Draw tangents to the circle from these two points $P$ and $Q.$

Using a ruler and a pair of compasses only, construct :

a triangle $ABC$, given $AB=4 \mathrm{cm}$, $BC=6 \mathrm{cm}$ and $\angle ABC=90°$.

a circle which passes through the points $A, B$ and $C$ and mark its centre as $O$.

Using ruler and compasses only :

Construct a triangle $ABC$ with the following data:

Base $AB=6 \mathrm{cm}$, $AC=5.2 \mathrm{cm}$ and $\angle CAB=60°$.