Question

Construct a regular hexagon of side 3.8 cm. Construct a circle inscribing it.

Answer 1

Steps of Construction:

1. Draw BC = 3.8 cm.
2. Using a radius of 3.8 cm, step off equal arcs around to locate points A, F, E, D, and C, forming a regular hexagon A-B-C-D-E-F.
3. Draw perpendicular bisectors of any two sides to locate the centre O.
4. Draw ON ⟂ BC. ON is the radius of the inscribed circle.
5. With centre O and radius ON, draw the incircle of the hexagon.