Construction of Regular Hexagon

Q.

A regular hexagon has a side 6cm. Its area is:

1. $8\sqrt{3}c{m}^2$

2. $10\sqrt{2}c{m}^2$

3. $11\sqrt{2}c{m}^2$

4. $54\sqrt{3}c{m}^2$

Q. In a given circle, draw and write the steps of construction -
i. A regular polygon
ii. A regular decagon

Q. 1. Construct a rhombus ABCD, when Angle A =60^° and height =3.0

Q.

A piece of wire is $750cm$ . What will be the length of each side if the wire is used to form a regular hexagon?

Q.

Can we construct a square if we know the measure of one of its diagonals?

1. Yes

2. No

Q.

Which of the following measurements will help us to construct a rhombus given one side ?

1. One interior angle

2. The measure of one diagonal

3. The exterior angle

4. No more measurement is needed

Q.

Arrange the following steps in the proper order to get a circumcircle from given regular polygon.

(a): Mark the point of intersection of the angle bisector.

(b): With the marked point as a centre and radius OA, draw the circle passing through the vertices of the given polygon.

(c): Draw the right bisector of any two sides of the polygon drawn.

(d): Construct the regular polygon.

1. d, c , a , b

2. d, c , b , a

3. a, d, c, b

4. a, b, c, d

Q. Construct a regular hexagon with side $5cm$.

Q.

If A and B are two given sets, then A ∩ $(A\cap B{)}^c$ is equal to

1. A

2. B

3. 

4. 

Q. A piece of wire is $60cm$ long. What will be the length of each side if the string is used to form:
a regular hexagon.

Q. Find the radius of the incircle of a regular hexagon of side $6cm$

Q. The perimeter of the quadrilateral formed after the construction of perpendicular bisector, if AP = 3 cm is ________

1. 12 cm
2. 14 cm
3. 16 cm
4. 10 cm

Q. Regular polygon is a polygon with equal sides.

1. False
2. True

Q. Construct a regular hexagon of side $5cm$. Hence determine the number of lines of symmetry of the hexagon.

Q. In a regular hexagon $ABCDEF$, $\overline{AB}+\overline{AC}+\overline{AD}+\overline{AE}+\overline{AF}=k\overline{AD}$, then $k$ is equal to

1. $1$
2. $3$
3. $2$
4. $0$

Q. Construct a regular hexagon of side $3.2$ cm. Measure the length between the center of the polygon and the mid-point of any of the sides of the polygon (in cms).

Q. The area of a circle inscribed in a regular hexagon is $100\pi$. The area of the hexagon is:

1. $600$
2. $300$
3. $200\sqrt{2}$
4. $200\sqrt{3}$
5. $200\sqrt{5}$

Q. Construct a regular heptagon with one of its side 3 cm long

Q. Construct a regular hexagon with a side $3cm$.

Q. Find the area of regular hexagon.

Q. Construct a regular hexagon of side 2.5 cm