How to draw a regular heptagon knowing the length of one side

How to construct a regular heptagon given the measurement of one of its side, using a compass and a 30-60º set-square
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[@kevinmeade10]

To clear up some confusion; this specific method is NOT a way to construct a heptagon. The author should have included the comment that it is "almost" a heptagon. This method is an approximation method. The last side will be slightly different in length due to this approximation. This method is the standard way to "approximate" the heptagon.

[@adamlau9274]

I agree with you. The author never actually showed us the imterior angles to prove it was a perfect polygon.

[@TheCompleteGuitarist]

Thanks, this worked great. I am creating real 3D paper prisms and this will help me create the base. With a 35mm side I produced a heptagon using very crude protractor and a HB pencil with was less than .5mm discrepancy. A tolerance more than adequate for my needs especially on such a tiny scale and even with the discrepancy I can build that into my construction, aside from which, observing any such error is impossible to the naked eye.

[@akaahar_ava5893]

Thanks sir

[@mehak___yyyy9726]

Thank you, it helped me a lot

[@danyjade7094]

Thanks it helped me for my Designed and Communication Homework

[@sandesh6651]

Thank you. Please keep up the good work

[@limshinying6719]

why we need to draw a 30 degree and an arc AN to meet with the perpendicular line of AB to get the centre? can help to explain? thank you so much

[@gft1740]

Thanks a lot it really helped😊😊

[@cpjhala]

Lots of thanks

[@rebeccakumar9468]

Yes

[@johndeerbolonias9731]

This video was helpful. However, you should include how and where does the measure came from so that it's more clear, especially to us students who doesn't have any idea how to do this

[@justingoldson1041]

Thank u, it helped a lot 😊😊

[@_ADL650_]

thank you so much

[@Eggzzzo]

Thanks a lot!!! It really helped me.☺

[@piyumikanimasha7]

Thank you soo much😍😍

[@syadazulaika]

Thank you so helpfull

[@True_DiabloTempest]

Thx it really help for my homework

[@faiyah_520]

Thank you💞💞

[@HACKINGMADEFUN]

Is this the general method

[@omarsamman6909]

Good morning> I have a question please explan the use of 30 deg angle

[@vhyctorEhkx]

thanks a lot

[@ojosephlocheret250]

What is that measurements one side

[@akaahar_ava5893]

Please my circle is not touching both points only one point,I mean point A and B

[@gurbaken5793]

They slightly error when drawing

[@69420guyhaha]

nice but heptagon is unconstructable but it can be constructed by neusis

[@michaelumeh8357]

Thank you
But why 30 degrees?

[@witcherthree1381]

Can you do it without the protractor (just a compass and straight edge?

[@bimffies]

Nope, soz: czcams.com/video/O1sPvUr0YC0/video.html

[@declanboushy6838]

Unfortunately not.
Every regular polygon with a prime number of sides is not constructable with only a compass and straight edge unless its number of sides is equal to a fermat prime.
A fermat prime is a prime number in the form of 2 to the power of 2 to the power of "n" (insert non-negative whole number here), such as 3, 5, 17, 257, 65537...
In fact, these 5 aforementioned fermat primes are the ONLY ONES known to humanity as of now.
The proof of the impossibility of the construction of a heptagon just using a compass and straight edge is part of the Gauss-Wantzel theorem.
For more info: Wikipedia - Constructible Polygon
God Bless

[@declanboushy6838]

By the way, the construction in the video is a very close approximation, but not exact.

[@InnocentOne933]

Ye it is possible cuz it is 30° degree. So you just need to make a 60° degree angle and just divide by 2 so you will get 30° degree angle.

[@GeometricMason]

@@InnocentOne933 exactly. Using a protractor is cheating

[@hrishardhgaming8391]

What is the length of the side line

[@Chiniituluu]

This heptagon is wrong. Because of Galois Theory, there is impossible to make perfect heptogon by using compass and ruler.

[@ArthurGeometry]

It's a pretty valid approximation if you draw it by hand.

[@programmingtutor7915]

Gauss-Wantzel prove that Heptagon is not constructible polygon since 17xx , this is just approximation , not Exactly heptagon.

[@Jd_c.l.u.b]

I like that

[@rebeccakumar9468]

I am trying to make now

[@ARC928]

Is this mathematically accurate?

[@RhealRPoirier]

Is there a proof of why this works somewhere?

[@kevinkudakwaishemaminimini9996]

thank you it helped a lot

[@qinen1973]

Not specific enough

[@ManuelGarcia-yw2cf]

Make it easier, here you have some siberian children doing their homework from school

[@iplaygames6691]

and you have malaysian kids too

[@angelhenry2069]

How do you know how big to open the compass at 2:15

[@gmine5646]

exactlyyyyyyyy

[@georgesl.ashley5643]

helpful

[@shizamalik9220]

mujhy pata ni chl rha h k u ny compus kini open ki h

[@arsantiqua8741]

Is this approximate?

[@ArthurGeometry]

Yes, it is

[@carl1592]

i guess most are here because of there lesson? on how to make a specific polygon? and forgot how to make them so decided to watch here? lmao
it also helped an all of my polygon creating lessons xd

[@TheRojo387]

I call your bluff!

[@mariolegaspi681]

I TRIED IT 5 TIMES, BUT I'M ALWAYS OFF A FEW mm.

[@sadinsikder6076]

I also tried it 7 times but it didn't work

[@richardcarrington4840]

Equilateral

[@shakediawilson9891]

BAJAN WHAT ARE YOU DOING

[@menkasingh4424]

Not sure yet !!!🙄🙄

[@angelhenry2069]

I got a hexagon 😭

[@Pushpendrasingh-fh4cp]

What is method

[@sankets.sawant7156]

Op

[@InnocentOne933]

This is smort

[@calvinjackson8110]

The video gives you the impression that it is this easy to construct a perfect heptagon. The constructed arcs and lengths look so precise and perfect. BUT THEY ARE NOT.
You have not created a perfect heptagon. Readers should do some independent research about regular polygons that are not constructable.

[@kirtantrivedi2237]

Not good

[@shikharavibisht4983]

Thank you, it helped a lot