Draw a transverse common tangent to two circles of radii $6cm$ and $2cm$ whose centres are $8cm$ apart.

Let $\mathrm{ABC}$ be a right triangle in which $\mathrm{AB}=6 \mathrm{cm}, \mathrm{BC}=8 \mathrm{cm}$ and $\angle \mathrm{B}=90°$. $\mathrm{BD}$ is the perpendicular from $\mathrm{B}$ on $\mathrm{AC}$. The circle through $\mathrm{B}, \mathrm{C}, \mathrm{D}$ is drawn. Construct the tangents from $\mathrm{A}$ to this circle.

Take a point which is $9 \mathrm{cm}$ away from the centre of a circle of radius $3 \mathrm{cm}$, and draw two tangents to the circle from that points and calculate their lengths.

Draw the circle with centre $C$ and radius $3.6 \mathrm{cm}$. Take point $B$ which is at distance $7.2 \mathrm{cm}$ from the centre. Draw tangents to the circle from point $B$.

Draw $\odot \left(O, 3 cm\right)$. Construct a pair of tangents from point $P$ at a distance of $7 cm$ from the centre $O$. Also write points of constructions.

Draw a circle of radius $4 cm$ and construct a pair of tangents such that the angle between them is $60°$.

Construct a circumcircle of $△ABC$, where $AB=8 cm, BC=5 cm$and $\angle ABC = 60°$degree. Write the steps of construction.

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.

Draw a line segment $AB$ of length $7 \mathrm{cm}$. Taking $A$ as centre, draw a circle of radius $3 \mathrm{cm}$ and taking $B$ as centre, draw another circle of radius $2 \mathrm{cm}$. Construct tangents to each circle from the centre of the other circle.