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How do you construct a hexagon?

Updated: 4/28/2022
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13y ago

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with a compass scribe a circle. then with the compass still set to the same radius place the pin of the compass on the circle and make a mark on the circle. lift the compass, place the pin on the mark and repeat around the circle. the geometry of the circle allows for a hexagon to be generated this way.

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Q: How do you construct a hexagon?
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How do you construct hexagon?

You construct a Hexagon by drawing 8 lines that touch each other.


How did the Greeks construct a regular hexagon?

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Can six equilateral triangles construct a hexagon?

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It is possible to construct a regular hexagon using only a straightedge and a compass?

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Is it possible to construct a hexagon using only a straightedge and a compas?

Yes First construct an equilateral triangle: Draw the base side of the triangle and label the ends A and B - this will be the first side of the hexagon. Set the compass to the length of the side. With the compass on one end of the line (point A), draw an arc to one side of the line (roughly near the middle). With the compass on the other end of the line (point B), draw a second arc to intersect the first arc (call this point O) - this is the apex of the triangle. Normally when constructing the triangle side OA and OB would be drawn in, however as a hexagon is being constructed only the location of O is needed. This point O will be the centre of the hexagon. Now construct 4 further equilateral triangles: For the first use OB as the base (the actual line is not needed, just its endpoints), construct its apex C and using the straight edge join B to C. For the next, use OC as the base, construct its apex D and join C to D Then use OD, construct apex E and join D to E Finally using OE, construct apex F and join E to F. The hexagon can now be completed by joining F to A.


How can you measure a hexagon with no protractor or ruler?

Measuring implies using a measuring device of some kind. If you mean to construct a hexagon without a protractor or ruler, that's different. Constructions in geometry require only a compass and a straightedge (a ruler, but you ignore the numbers). A hexagon can be made of 6 equilateral triangles; choose any length for the side and construct them connected together, using only the compass to set the length and the straightedge to draw straight lines between points.


Why is an hexagon an hexagon?

When referring to it as a hexagon is not a faux pas.


How do you remember that a hexagon is a hexagon?

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How sides does a hexagon have?

a hexagon has 6 sidesAn hexagon is a 6 sided polygon


What is the name of a shape with 6 side?

hexagon