Saturday, June 29, 2013

Regular Polygon Inscribed in a Circle

  • With centre O , draw the given circle.
  • Draw a diameter AB and divide it into five equal parts (same number of parts as the number of sides) and number them as shown.
  • With centres A and B and radius AB , draw arcs intersecting each other at M.
  • Draw a line joining points M and A_2 intersecting the circle at I. Then AI is the length of the side of the pentagon.
  • Starting from I , step – off on the circle, divisions IJ , JK , KL equal to AI.
  • Draw segments AI , IJ , JK ,KL and LI thus completing the pentagon.


  1. I hink the "outside" circle is called a circumcircle, and it connects all vertices (corner points) of the polygon. I would like to say Thanks for sharing such a nice collection.
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