HEPTAGON

Construct a heptagon, given one side

Step 1. From vertex A, draw an angle of 30°

Step 2. From B, draw a perpendicular line to AB. Where it intersects the 30° angle line, we obtain point N.

Step 3. Use centre A and radius AN. Draw an arc.

Step 4. Draw the perpendicular bisector of AB. At the point of intersection with the arc in step 3, we get point O. This is the centre of the circumscribed circumference of the heptagon.

Step 5. Use centre O and radius OA. Draw the circumscribed circumference.

Step 6. To complete the drawing, copy the length of AB consecutively around the circumference.

Construct a heptagon, given the circumscribed circle.

Step 1. Draw the perpendicular diameters of the circle, AB and CD.

Step 2. Draw the perpendicular bisector of one of the radius. For example, use OD. This obtains point M. Extend the bisector to obtain point N.

Step 3. The segment MN is the length of the side of the regular heptagon. From vertex A, translate this segment consecutively around the circle.