Do far off topic but need some help....

bigbet1234 · May 15, 2008

how can you make a hexagon with no compass, graph paper, etc...just a ruler.

I need each hexagon cut out of circles. Circle sizes are below. I seached for templates online, but had no luck.

16", 14", 12" 10" and 8"

All have to be uniform and 2 inches less than the next.

Have at it:think2:

Anonymous1 · May 15, 2008

wiki has the solution

GreenDoberman · May 15, 2008

Seems to me if you can find the radius of the circles you would then bisect the circle with lines until you found the common denominator between 3 and 4 (12). If they are equidistant lines you would then make lines connecting the two points where you bisecting lines meet on the edge of the circle.

Maybe I just need more wine.

TTinCO · May 15, 2008

Six internal angles of 120 degrees each

TTinCO · May 15, 2008

Copy this into MS Paint, shrink it down to the size you need & print it out.

There's your template :toast:

bigbet1234 · May 16, 2008

Danke schön! My brother :cripwalk:

TTinCO said:
Copy this into MS Paint, shrink it down to the size you need & print it out.

There's your template :toast:

JayC · May 16, 2008

Well, you need to calculate the "chord" of a circle given the radius of the circle and the central angle.

I can't find a simple formula for the Chord, but I did find this calculator:

http://www.1728.com/circsect.htm

In each case your central angle is 60 degrees.

Diameter=16
Chord=8

Diameter=14
Chord=7

Diameter=12
Chord=6

Diameter=10
Chord=5

Diameter=8
Chord=4

So in each case, the length of the chord equals the radius, which makes sense because with a hexagon, you are making all of these equilateral triangles with one side being t he radius.

Take each circle and draw a chord of the appropriate length, then start the next chord where the last one ended and you will end up with a hexagon.

JayC · May 16, 2008

Here's the formula:

http://www.mathopenref.com/chord.html

Chord Length=2(r)(Sin[C/2]) where r is the radius and C is the central angle.

With an angle of 60 degrees, C/2=30. Sin 30=.5

Chord Length= 2(r)(.5)=r

Chord Length=Radius

bigbet1234 · May 16, 2008

Thanks too.

I just finished, turned out great.

Thanks for the help

Jay C said:
Here's the formula:

http://www.mathopenref.com/chord.html

Chord Length=2(r)(Sin[C/2]) where r is the radius and C is the central angle.

With an angle of 60 degrees, C/2=30. Sin 30=.5

Chord Length= 2(r)(.5)=r

Chord Length=Radius