Constructions based on Circle

Determine the radius of an circumcircle by drawing an circumscribing circle of a regular hexagon of side $4 \mathrm{cm}$.

Determine the radius of an circumcircle by drawing an circumscribing circle of a regular hexagon of side $5 \mathrm{cm}$.

Draw a circle of radius $3 \mathrm{cm}$. Mark a point $P$ at a distance of $5 \mathrm{cm}$ from the centre of the circle drawn. Draw two tangents $PA$ and $PB$ to the given circle and measure the length of each tangent.

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

Determine the radius of an incircle by drawing an inscribing circle of a regular hexagon of side $6 \mathrm{cm}$.

Determine the radius of an incircle by drawing an inscribing circle of a regular hexagon of side $5.8 \mathrm{cm}$.

Determine the length of each tangent to a circle of diameter of $9 \mathrm{cm}$. Mark a point at a distance of $7.5 \mathrm{cm}$ from the centre of the circle. Draw tangents to the given circle from this exterior point.

Measure and write down the length of one tangent of a circle of radius $3.5 \mathrm{cm}$. Mark a point $P$ outside the circle at a distance of $6 \mathrm{cm}$ from the centre. Construct two tangents from $P$ to the given circle.

Find the length of each tangent to a circle of diameter of $9 \mathrm{cm}$. Mark a point at a distance of $7.5 \mathrm{cm}$ from the centre of the circle. Draw tangents to the given circle from this exterior point.

To construct tangent to a given circle from an exterior point, number(s) of information we need is/are

To construct a circumscribes circle of a hexagon, we need to find the bisector of minimum _____.

To construct a circumscribes circle of a hexagon, we need to find bisector of minimum _____ number of side(s)

To draw a circle circumscribes a given regular hexagon, the minimum number(s) of information we need is/are

To draw a circle circumscribes a given regular hexagon, the minimum number of diagonal(s) we need to draw is

Whenever a circle circumscribes a given regular hexagon, its radius is always equal to the length of the _____ of the regular hexagon.

To construct an inscribing circle of a hexagon, we need to find angle bisector of minimum _____ number of side(s)

To construct an inscribing circle of a regular hexagon, the minimum number(s) of information we need is/are

Using ruler and compass only, construct a $∆ABC$ such that $BC=5 \mathrm{cm}$ and $AB=6.5 \mathrm{cm}$ and $\angle ABC=120°$. Construct a cyclic quadrilateral $ABCD$, such that $D$ is equidistant from $AB$ and $BC$.

Using ruler and compass only, construct a $∆ABC$ such that $BC=5 \mathrm{cm}$ and $AB=6.5 \mathrm{cm}$ and $\angle ABC=120°$. Construct a cyclic quadrilateral $ABCD$, such that $D$ is equidistant from $AB$ and $BC$.

Construct a incircle of a regular hexagon of side $5 \mathrm{cm}$.