Question

Construct a regular hexagon of side 3.4 cm. Construct a circle circumscribing it.

Answer 1

Steps of Construction:

1. Draw a circle with centre O and radius 3.4 cm.
   (Because in a regular hexagon, each side = radius of its circumcircle.)
2. Mark a point D on the circle.
3. With D as the centre and radius 3.4 cm, mark the next point C on the circle.
4. With C as the centre and the same radius, mark point B.
5. Similarly, continue marking points A, F, and E on the circle using a radius of 3.4 cm each time.
6. Join the points in order:
   A–B–C–D–E–F–A
   to form the regular hexagon.
7. The circle already drawn with centre O becomes the circumscribed circle of the hexagon.