The vertices of an inscribed polygon
on a circle are each connected to the center of the circle. This creates a regular polygon, where all sides and angles are equal. The number of vertices determines the number of sides and angles of the polygon.
For example, if there are 3 vertices, this creates a regular triangle. If there are 4 vertices, it creates a regular quadrilateral (also known as a square). If there are 5 vertices, it creates a regular pentagon, and so on.
The more vertices there are, the more sides and angles the polygon will have. The formula to find the number of sides is given as:
Number of Sides = Number of Vertices
So, if there are n vertices, there will be n sides in the polygon.