Pentágono regular inscrito en un circunferencia 😅​ Pentágono dado el lado 😅​ Estrella de 5 puntas

How to Draw a Pentagon Inscribed in a Circle

Step-by-Step Drawing Process

• The video begins with an introduction to drawing a pentagon inscribed in a circle, starting by drawing any diameter that intersects the circle at points A and B.

• A perpendicular bisector of the diameter is drawn, which intersects the circle at points C and D. This step is crucial for establishing symmetry in the pentagon.

• Another perpendicular bisector is drawn along the radius, intersecting it at point E. An arc is then created from E to C, leading to point F, which helps determine the side length of the pentagon.

• The distance between points C and F represents one side of the pentagon. This distance is marked five times around the circle starting from point C to create five equal divisions.

• After marking all five points, they are connected to complete the inscribed pentagon.

Constructing Vertices of the Pentagon

• To find additional vertices, extend segment AB and draw a parallel line through point B using a bisector.

• Three arcs are drawn from points A, B, and C; these intersections help identify further vertices needed for completing the shape.

• The process continues by finding two more vertices based on previously established distances using compass measurements.

Creating a Five-Pointed Star

Steps for Star Construction

• Similar initial steps are followed as when creating a pentagon: drawing diameters and bisectors until reaching point E again.

• An arc is drawn from E up to C; this arc also intersects with another diameter at point F. The distance between C and F will be repeated five times around for star formation.

• Once all five points are established, they can be connected differently than in a regular pentagon—specifically by skipping one vertex each time while connecting them sequentially.

Finalizing Connections

• Starting from an initial vertex (C), connections are made by jumping over one vertex repeatedly until returning to the starting point. This method creates a distinct star shape rather than just connecting adjacent vertices.