Draw a Polygon by Inscribe Circle Method

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Construct a regular pentagon of side 30mm by inscribe circle method.

 

  • Draw a line AB of length 30 mm.
  • With centre A and radius AB, draw a semi-circle BM.
  • With a divider, divide the semi-circle into five equal parts (same as the number of sides). Number the divisions as 1, 2, 3, 4 and 5 starting from M.
  • Draw a line joining points A and 2.
  • Draw the perpendicular bisectors of lines A2 and AB intersecting each other at O.
  • With centre O and radius OA, draw a circle.
  • With radius AB and starting from B, cut the circle at points, C, D, and E.
  • Draw lines BC, CD, and DE. Thus, completing the required pentagon.


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Inscribe a regular heptagon in a circle of diameter 60 mm Heptagon Inscribed in a circle Draw a circle of diameter 60mm. Draw a diameter line AB. By taking center A and radius AO, draw an arc EF. Draw a straight line EF, intersecting the line AB at point G. Length GE or GF is the representing length of sides of pentagon. Therefore, by taking distance equal to EG in the compass, make seven equal divisions 1, 2, 3, 4, 5, 6 and 7 on the circle. Join all the divisions by straight lines and obtain the heptagon.
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