Construction of a Circumcircle for a Regular Hexagon

Q. Circumradius of a regular hexagon of sides 6 cm =

1. 3cm
2. 6cm
3. 12cm
4. 3$\sqrt{2}$ cm

Q. The circumradius of a regular hexagon of sides 6 cm is equal to:

1. 3 cm
2. 6 cm
3. 12 cm
4. 3$\sqrt{2}$ cm

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

1. $54\sqrt{3}c{m}^2$
2. $27\sqrt{3}c{m}^2$
3. $9\sqrt{2}c{m}^2$
4. $10\sqrt{2}c{m}^2$

Q. If a regular pentagon and a regular decagon have the same perimeters, prove that their areas are as $2:\sqrt{5}$.