Use a T square and a 30°/60° triangle to draw the remaining sides of the figure tangent to the circle and at 30° to the horizontal.įig. Draw lines tangent to the circle and perpendicular to AB at A and B. So using the area of a triangle formula 1/2 a b sin C, we get the area of each. Draw horizontal diameter AB and vertical center line. Regular hexagons are nice because they slice nicely into 6 equilateral triangles. 4-27 Construction of a Regular Hexagon, Circumscribed Circle, Triangle Method Regular Hexagon on a Given Inscribed Circleįigure 4-28 shows a method of constructing a regular hexagon on a given inscribed circle. From September 16th to 21st we will present ourselves as part of Hexagon Manufacturing Intelligence in hall 6, booth B60. 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 center of the regular hexagon is equidistant. Start the blade and cut the angle into the wood. In a regular hexagon, all sides equal the same length and all interior angles have the same measure. Align the blade with the end of the workpiece corner to cut the angle without altering the length of the piece. Place a hexagon side on miter saw table with the edge against the fixture fence. 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. Set the miter saw table to 30 degrees away from the fixture. Hexagons are six sided figures and possess the following shape: In a regular hexagon, all sides equal the same length. The diameter of the circumscribed circle has the same length as the long diameter of the hexagon. Regular hexagons are interesting polygons. 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. Regular Hexagon in a Given Circumscribed Circle
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