Question

Draw a regular hexagon of side 3.5 cm. Construct a circle circumscribing the regular hexagon.

Answer 1

Steps of Construction:

1. Draw a circle of radius 3.5 cm with centre O. (In a regular hexagon, the radius of the circumscribed circle is equal to the side length.)
2. Mark a point A on the circumference of the circle. With A as the centre and radius 3.5 cm, cut an arc on the circle to get point B.
3. With B as centre and radius 3.5 cm, cut another arc to get point C.
4. In the same way, using the same radius (3.5 cm), mark points D, E, and F on the circle.
5. Join A–B, B–C, C–D, D–E, E–F, and F–A. Then ABCDEF is the required regular hexagon.
6. The same circle drawn with centre O and radius 3.5 cm is the circumscribed circle of the regular hexagon.