Draw Polygon by Arc Method

1. Construct a regular pentagon of side 30mm by arc method

 

Steps

  • 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 division-points as 1, 2, 3, 4 and B.
  • Draw a line joining points A and 2.
  • Draw and extend the lines joining points A and 4, and points A and 3.
  • With centre B and radius AB, draw an arc cutting A4 line at C. Draw a line joining points B and C.
  • With centre C and radius AB, draw an arc cutting A3 line at D. Draw a line joining points C and D.
  • Join points D and 2. Give a name E to point 2. Thus completing the pentagon ABCDE.



2. Construct a regular hexagon of side 25mm by arc method

  • Draw a line AB of length 25 mm.
  • With centre A and radius AB, draw a semi-circle BM.
  • With a divider, divide the semi-circle into six equal parts (same as the number of sides). Number the division-points as 1, 2, 3, 4, 5 and B.
  • Draw a line joining points A and 2.
  • Draw and extend the lines joining points A-5, A-4, and A-3.
  • With centre B and radius AB, draw an arc cutting A5 line at C. Draw a line joining points B and C.
  • With centre C and radius AB, draw an arc cutting A4 line at D. Draw a line joining points C and D.
  • With centre D and radius AB, draw an arc cutting A3 line at E. Draw a line joining points D and E.
  • Join points E and 2. Give a name F to point 2. Thus completing the pentagon ABCDE.

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