Determine the radius of an incircle by drawing an inscribing circle of a regular hexagon of side $8 \mathrm{cm}$.

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 segment of a circle on a chord of length $5 \mathrm{cm}$ containing an angle of $45°$.

Construct a segment of a circle on a chord of length $5 \mathrm{cm}$ containing an angle of measure $90°$.

Construct a segment of a circle on a chord of length $5 \mathrm{cm}$ containing an angle of $120°$.