The octagon is a basic polygonal shape consisting of eight sides. A regular octagon consists of eight equal sides and angles. The stop sign is a common and recognisable regular octagon. You can draw a regular octagon on graph paper according to a straightforward step-by-step process. You can also draw an irregular octagon in one simple step.

• The octagon is a basic polygonal shape consisting of eight sides.
• You can also draw an irregular octagon in one simple step.

Choose a centre point for the octagon at an intersection on the grid. It should be somewhere near the centre of the area in which you want to draw the octagon.

Draw a circle around the central point using the compass. The radius is the distance from the centre of a circle to its edge. For ease and precision, choose a radius length equal to a whole number of grid boxes. For example, you can choose a length of four grid boxes for your radius, which will create a circle whose diameter is eight.

• Draw a circle around the central point using the compass.

Draw a vertical diameter and a horizontal diameter with the ruler. A diameter is a straight line connecting two opposite points on a circle that passes through the centre point. This will create a cross shape and will mark four corners of the regular octagon.

Draw two more diameters that bisect, or cut in half, the angles created by the first two. This will create eight 45-degree angles.

• Draw two more diameters that bisect, or cut in half, the angles created by the first two.