Construction of Incircle in a Regular Hexagon

Q.

Construct a cyclic quadrilateral ABCD when AB = 8 cm, BC = 6 cm, $\angle ABC={60}^{\circ }$ and AD = 5.4 cm.

Q.

In a quadrilateral ABCD, AB = 7 cm, BC = 5 cm, AC = 9 cm, AD = 6 cm, CD = 2 cm. Which of the following options is true about the construction of a quadrilateral ABCD?

1. It is not possible to draw the quadrilateral since AD + DC > AC

2. It is possible to draw the quadrilateral since AD + DC > AC

3. It is not possible to draw the quadrilateral since AD + DC < AC

4. It is possible to draw the quadrilateral since AD + DC < AC

Q. Construct a circle in a regular hexagon of side 3 cm.

Q. Construct a regular hexagon of side 4 cm. Construct a circle circumscribing the hexagon and measure its circumradius.

Q. Construct a regular hexagon in a circle of radius 3 cm. [3 MARKS]

Q. Construct a circle in a regular hexagon of side 3 cm.
$\left[3Marks\right]$

Q.

Construct a cyclic quadrilateral ABCD when AB = 7.6 cm, $\angle ABD={30}^{\circ }$, AD = 5.4cm and AB || CD.

Q. Incircle touches the sides of a triangle.

1. True
2. False

Q. Incenter is the concurrent point of angle bisectors of a triangle.

1. True
2. False