Inscribed Polygons
A polygon is inscribed in a circle if all its vertices are points on the circle and all sides are included within the circle.
All regular polygons can be inscribed in a circle.
The center of an inscribed polygon is also the center of the circumscribed circle.
The radius of the inscribed polygon is also the radius of the circumscribed circle.
Side of an Inscribed Equilateral Triangle
Example
Calculate the length of the side of an equilateral triangle inscribed in a circle of 10 cm radius.
Side of an Inscribed Square
Example
Find the side of a square inscribed in a circle of 5 cm radius.
Apothem of an Inscribed Hexagon
Calculate the apothem of a hexagon inscribed in a circle of 4 cm radius.
