Construct a regular hexagon with a side 3cm.

Hint: To construct a regular hexagon with a side 3cm, let us first draw a line AB of size 3 cm. From A and B, let’s draw two arcs and let it intersect at O. Now, we have to draw a circle with O as the center and OA as the radius. From A, let us mark 4 arcs each of length 3 cm and mark them F, E, D, and C. Now, we have joined AF, FE, ED, DC, and CB.

Complete step-by-step solution:
We have to construct a regular hexagon with a side 3cm.
Let us first draw a line AB of size 3 cm. This is shown below.

From A and B, let’s draw two arcs and let it intersect at O. That is, the perpendicular bisector of AB. This is illustrated below.

Now, we have to draw a circle with O as the center and OA as the radius. We will get the following figure.

From A, let us mark 4 arcs each of length 3 cm and mark them F, E, D, and C. This is shown below.

Now, we have joined AF, FE, ED, DC, and CB. This step is illustrated below.

Hence, we constructed a hexagon of side 3 cm.

Note: You can also draw the arcs on the circle from point B. You may make mistakes when drawing the circle with A or B as the center. You will not get a perfect hexagon if you draw without taking the perpendicular bisector and drawing the circle. You may try to draw the sides by simply taking 3 cm from each point. This will not result in a hexagon.