Set a compass to BC, lay off this interval around the circumference, and connect the points of intersection.įig. Draw vertical diameter AB, and use a T square and a 30°/60° triangle to draw BC from B at 30° to the horizontal. 4-26 Construction of a Regular Hexagon Triangle Methodįigure 4-27 shows another method of constructing a regular hexagon in a given circumscribed circle. From C, draw a line CE equal to OB then lay off this interval around the circle, and connect the points of intersection.įig. Lay off the horizontal diameter AB and vertical diameter CD. The radius of the circumscribed circle (which equals one-half the long diameter of the hexagon) is equal in length to the length of a side. The diameter of the circumscribed circle has the same length as the long diameter of the hexagon. Figure 4-26 shows a method of constructing a regular hexagon in a given circumscribed circle. Many bolt heads and nuts are hexagonal (six-sided) in shape. 5.Regular Hexagon in a Given Circumscribed Circle Now, draw a line in the same manner as you did in step 3 draw a curve starting at the point where the pencil tip of the compass meets the circle and draw inward until you get to the edge of the circle opposite to where you started. Rest the metal tip at the point where the curved line you just drew touches the outer circle. Now, draw a line in a similar manner as you did in step 1 draw a curve starting at the point where the pencil tip of the compass meets the circle and draw inward until you get to the edge of the circle opposite to where you started. Because this can be hard to understand, see the pictures above. Starting at the part of the circle the pencil part of the compass falls on, draw inward until the line gets to the part of the circle opposite to where you started. Turn the metal point of the compass so that the pencil it rests on the line of the circle. Place the metal point part of the compass at any point along the circle line.
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