Construct a regular hexagon of side

(i) 2.5 cm

(ii) 3.2 cm

(i) Steps of construction :

1. Draw a circle of radius 2.5 cm.

2. Taking any point A on the circumference of the circle as centre, draw arcs of same radii which cut the circumference at B and F.

3. With B and F as centers, again draw two arcs of same radii (2.5 cm) which cut the circumference at C and E respectively.

4. With C or E as center, draw one more arc of the same radius which cuts the circumference at point D.

5. Join AB, BC, CD, DE, EF and FA.

Hence, ABCDEF is the required regular hexagon.

(ii) Steps of construction :

1. Draw a circle of radius 3.2 cm.

2. Taking any point A on the circumference of the circle as centre, draw arcs of same radii which cut the circumference at B and F.

3. With B and F as centers, again draw two arcs of same radii (3.2 cm) which cut the circumference at C and E respectively.

4. With C or E as center, draw one more arc of the same radius which cuts the circumference at point D.

5. Join AB, BC, CD, DE, EF and FA.

Hence, ABCDEF is the required regular hexagon.