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Construction of Regular Hexagon – Engineering Drawing

Construction of regular hexagon
Hexagon is a polygon of six sides. The method given below generally gives a better hexagon than drawing it using protector and ruler.

Construction of a Regular Hexagon

(Let the side be of 50 mm)

Method I – Construction of regular hexagon

Construction of regular hexagon method 1

Procedure :-

  • Draw a line AB of given length 50 mm.
  • Draw a line AP of any suitable length inclined to AB at an angle of 120 degree.
  • Also draw a line BQ of any suitable length inclined to AB at an angle of 120 degree.
  • With A and B as centres and radius equal to R=AB=50 mm, draw arcs intersecting line AP and BQ at points F and C respectively. Draw AF and BC thick and dark.
  • Draw a line FP1 of any suitable length inclined to AF at an angle of 120 degree. Similarly, draw a line CQ1 of any suitable length inclined to BC at an angle of 120 degree.
  • With F and C as centres and radius equal to R=AB=50 mm, draw arcs intersecting line FP1 and CQ1 at points E and D respectively. Draw FE and CD thick and dark. Join DE.
Thus, ABCDEF is the required regular hexagon.

Method II – Construction of regular hexagon

Construction of regular hexagon method 2

Procedure :-

  • Draw a circle with O as the centre and radius equal to the edge of regular hexagon i.e. R=AB=50 mm.
  • Draw diameter of a circle AD as shown.
  • With A as centre and radius equal to R=AB=50 mm, draw two arcs on each side of diameter AD intersecting the circle at points B and F as shown. Join AB and AF.
  • With D as centre and radius equal to R=AB=50 mm, draw two arcs on each side of diameter AD intersecting the circle at points C and E as shown. Join CD and DE.
  • Join BC and EF.
Thus, ABCDEF is the required regular hexagon.