How to draw a regular heptagon inscribed in a circle

How to construct an 7-sided polygon inscribed in a circle.
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This KZread channel is dedicated to teaching people how to improve their technical drawing skills. It focusses on drawing figures from the geometric plane to descriptive geometry and also different systems of technical drawing representation.
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Dubbed by Frank Shaw.
Music by Antonio Fernández Ruiz. antoniofernandez.es/
#Geometry #HowtoDraw

Пікірлер: 156

  • @roberthorwat6747
    @roberthorwat67474 жыл бұрын

    I enjoyed this very much. Traditional Technical drawing, on A3 or A2 paper, with 3H and 4H pencils, NEVER HB!, wooden T squares and acrylic set squares, was my absolute favourite lesson in school. Great to refresh my mind on techniques such as these. Try as I might I could never get my compass accuracy to perfectly complete the circle back to the origin. Great fun though.

  • @dipakpalvankar5740

    @dipakpalvankar5740

    9 ай бұрын

    gg🎂🎂qwwqwqwqqq😂

  • @iaingill4879

    @iaingill4879

    3 ай бұрын

    Why not HB?

  • @roberthorwat6747

    @roberthorwat6747

    3 ай бұрын

    @@iaingill4879 HB is only for perfect draughtsmen who never need to use an eraser. I was not a perfect draughtsman🤣

  • @iaingill4879

    @iaingill4879

    3 ай бұрын

    @@roberthorwat6747 I'm new to geometry and art - what is the best pencil type to use?

  • @rosiefay7283
    @rosiefay72836 жыл бұрын

    This is Albrecht Dürer's approximation.

  • @ArthurGeometry

    @ArthurGeometry

    6 жыл бұрын

    Thanks for your information.

  • @ArthurGeometry

    @ArthurGeometry

    6 жыл бұрын

    This is a tutorial to draw with set-squares and compass, not mathematical calculation. I already know.

  • @ffggddss

    @ffggddss

    5 жыл бұрын

    @CogitoErgoCogitoSum Actually, a heptadecagon (17 sides) *can* be constructed classically. (It's *very* complicated!) What he's attempting here, is a heptagon (7 sides), which cannot. This is, however, a pretty decent approximation, good for most practical purposes. Fred

  • @davegillett7135

    @davegillett7135

    4 жыл бұрын

    @CogitoErgoCogitoSum The subtleties seem lost unfortunately. I would argue that if the construction isn't exact then the heptagon isn't a regular heptagon. . There's a wonderful book called Ruler and Compass. It explains the subject far better than I can.

  • @bryantthe

    @bryantthe

    3 жыл бұрын

    I have reported this video as "spam or misleading"

  • @p4ul1w4uli
    @p4ul1w4uli Жыл бұрын

    Thank you very much for this. Economical layout and clear commentary. Gotta love geometry.

  • @WaterMelon-xt4jw
    @WaterMelon-xt4jw2 жыл бұрын

    this is way simpler than the 5 corner, wow. Anyways thank you for making this video its helps allot with math

  • @nikitasrivastava1552
    @nikitasrivastava15522 жыл бұрын

    Thankyou from India!☆☆☆☆☆

  • @SamVidovich
    @SamVidovich3 жыл бұрын

    A good approximation! Thank you, very nice method.

  • @SunFlower-ts9ow
    @SunFlower-ts9ow Жыл бұрын

    Enjoyed it so much.

  • @pdias8469
    @pdias84697 ай бұрын

    Thanks. It’s perfect.

  • @lojainabsi8704
    @lojainabsi8704 Жыл бұрын

    Thank you, I benefited a lot from you❤

  • @taetaebuns
    @taetaebuns Жыл бұрын

    you really saved me from my maths teacher..i really appreciate going to recommend this to everyone in my class 🤣🤣🤣🤣

  • @hyderlatifpremji9627
    @hyderlatifpremji96272 жыл бұрын

    Amazing!!!🤩🤩😍😍

  • @neurotheology705
    @neurotheology7053 жыл бұрын

    Thank you for sharing

  • @bradykarriah
    @bradykarriah Жыл бұрын

    This helped alot thank you

  • @giogiochka5716
    @giogiochka5716 Жыл бұрын

    This is not a regular heptagon, as already pointed out, it's only a good approximation, your title should read. Your videos are very well done and interesting to watch. Congratulations for your outstanding work.

  • @anukrit
    @anukrit5 жыл бұрын

    thank you !!! Helped a lot

  • @adrianhope4796
    @adrianhope47962 жыл бұрын

    I like this construction very much I have used it to create 7 sided vessels. BUT I still do not see WHY it works. Please tell me

  • @calvinjackson8110

    @calvinjackson8110

    Жыл бұрын

    It doesn't work. To the natural human eye it looks as if he has constructed an exact regular heptagon. But he has not and it can be proven. It is convincing to the eye, but the mathematics says otherwise.

  • @bcvc3365
    @bcvc33653 жыл бұрын

    Nice 👍 thanks

  • @swapnilvirani5949
    @swapnilvirani59494 жыл бұрын

    Thanks sir its really worth for every engineering students huge thanks again

  • @vincentkeya9077

    @vincentkeya9077

    2 жыл бұрын

    my friend you didnt try it

  • @jj_esturi
    @jj_esturi7 жыл бұрын

    Thanks for explaining me

  • @alexzuma2024.
    @alexzuma2024. Жыл бұрын

    the side-length of a regular n-sided polygon in a unit circle is s = 2*sin(180º/n)

  • @AkashNayak-gu8fx
    @AkashNayak-gu8fx4 жыл бұрын

    Thank you sir

  • @marksabol8758
    @marksabol87588 жыл бұрын

    Of course, this method is not exact. The square root of 3 subtends an angle (51.32 degrees) that is very close but not equal to 360/7 = 51.43 degrees.

  • @L6FT

    @L6FT

    7 жыл бұрын

    Thank you. That was the math I was looking for to describe why my compass doesn't get it exact to the needle.

  • @habibaaamirali

    @habibaaamirali

    7 жыл бұрын

    Mark Sabol i

  • @ffggddss

    @ffggddss

    5 жыл бұрын

    To put it in other terms, the side-length of a regular heptagon in a unit circle is s =2 sin(180º/7) = 0.867767478... while the length used here is s' = ½√3 = 0.866025404... The ratio is s'/s = 0.997992... So it's short by a mere part in 500. Fred

  • @SurveyorEngineer

    @SurveyorEngineer

    4 жыл бұрын

    @@ffggddss I cane up with exactly the same numbers you did.

  • @baconsky1625

    @baconsky1625

    2 жыл бұрын

    You're destroying all the magic. Good job fun destroyer :(

  • @klebo1962
    @klebo19624 жыл бұрын

    Viva Pedro Antonio

  • @jehvmcdonald4887
    @jehvmcdonald48873 жыл бұрын

    Thank you

  • @davidbrahi1485
    @davidbrahi14854 жыл бұрын

    That's wonderful

  • @larryshawabcelectrical
    @larryshawabcelectrical8 жыл бұрын

    Excellent...

  • @AppOdellsMULTIMEDIA
    @AppOdellsMULTIMEDIA4 күн бұрын

    Pleased what soft ware is this?

  • @mrunalsurve7263
    @mrunalsurve72632 жыл бұрын

    Thanks ❣

  • @Caramel77788
    @Caramel777884 жыл бұрын

    You are the best. After trying different gurus; you were the only one i could follow without hesitation. New subscriber. I need my geo accurate and simple. I dont want to stress out. Thanks so much!

  • @smokeythegaming8416
    @smokeythegaming84163 жыл бұрын

    Why mine came out with only 6 sides I tried it in different cm every time I draw it it has the same answer

  • @official-obama

    @official-obama

    3 жыл бұрын

    It is not perfect

  • @bravoromeojohn
    @bravoromeojohn Жыл бұрын

    Varying the thickness of your compasses lead by a mere 0.2, and mine came out spot on...needle to needle 🤷 Much appreciated!

  • @RajenderKumar-qj3yf
    @RajenderKumar-qj3yf3 жыл бұрын

    👍🏾👍🏾👍🏾👌👌👌

  • @justherenow2800
    @justherenow28006 жыл бұрын

    Pretty quick accuracy, thanks

  • @mariocrespo4883
    @mariocrespo48834 жыл бұрын

    Good video Arthur. Greetings from Spain.

  • @gideonlapidus8996
    @gideonlapidus8996 Жыл бұрын

    How can i prove this construction? Is there a proof?

  • @Jole08
    @Jole082 жыл бұрын

    Thanks bro

  • @arvindarvindpotliya7880
    @arvindarvindpotliya78805 жыл бұрын

    Nice to

  • @bhushanpatil3614
    @bhushanpatil36145 жыл бұрын

    Nice video helpfull

  • @Anonymous-nw3gn
    @Anonymous-nw3gn4 жыл бұрын

    The regular heptagon is the simplest regular polygon that can't be constructed with only a compass and straightedge

  • @danielegwurube6544

    @danielegwurube6544

    4 жыл бұрын

    exactly? because I did before with a compass and straight edge

  • @alejotassile6441

    @alejotassile6441

    3 жыл бұрын

    @@danielegwurube6544 kzread.info/dash/bejne/gWWnstiOopO_c5M.html

  • @official-obama

    @official-obama

    3 жыл бұрын

    @@danielegwurube6544 it’s an approximation

  • @michaelkrupa131

    @michaelkrupa131

    2 жыл бұрын

    It's a Heptagon... Just not a REGULAR Heptagon. It's Off by 0.2%, an approximation attributed centuries ago by Albrecht Dürer, as noted by some others here, and documented here in Wikipedia: en.wikipedia.org/wiki/Heptagon#Approximation

  • @JimBalter

    @JimBalter

    8 ай бұрын

    @@michaelkrupa131 "It's a Heptagon" Nonsense. You could pick any length for the side and then just connect the last two points regardless of their distance. But *this* construction does not create a heptagon inscribed in the circle.

  • @michaelweiske702
    @michaelweiske7025 жыл бұрын

    How accurate is this video? A regular heptagon: l=2*r*sin(pi/7) In the video: MQ=r*cos(pi/3)=r*sqrt(3)/2 Does 2*r*sin(pi/7)=r*sqrt(3)/2? Divide both sides by r: 2*sin(pi/7)=sqrt(3)/2 Divide both sides by 2: sin(pi/7)=sqrt(3)/4 Use a calculator cause f*ck it: .4338837391...=/=.4330127019...

  • @pintificate

    @pintificate

    4 жыл бұрын

    Totally inaccurate.

  • @DarkonXBL

    @DarkonXBL

    4 жыл бұрын

    @@pintificate prove it

  • @michaelkrupa131

    @michaelkrupa131

    2 жыл бұрын

    @@DarkonXBL Proved Long Ago!

  • @michaelkrupa131

    @michaelkrupa131

    2 жыл бұрын

    Excellent!

  • @Unknown-zd8us

    @Unknown-zd8us

    Жыл бұрын

    I'm generation z and I'm losing my mind on this math, can y'all teach me?

  • @stayfrosty5270
    @stayfrosty52706 жыл бұрын

    This really help me a lot

  • @rmarinov5770
    @rmarinov57704 жыл бұрын

    Charmed. Thank You. AND IF R = 17 > r = 13 ~ Aprxim. 7 Circles & r =13 ; ONE CENTRAL & R=17?

  • @AMITKUMAR-yc1yb
    @AMITKUMAR-yc1yb6 жыл бұрын

    Thanks a lot sir, very easy method.

  • @gurbaken5793
    @gurbaken57932 жыл бұрын

    It is very simple and more accurate

  • @ceciliaonyehanere9079
    @ceciliaonyehanere90795 жыл бұрын

    Nice one. It helped me a lot. Love your explanations.👍👍👍😘

  • @obioraivenso8518
    @obioraivenso85186 жыл бұрын

    THANKS. VERY HELPFUL

  • @ARC928
    @ARC9284 жыл бұрын

    Is this mathematically accurate Heptagon?

  • @carnotaurussastrei2536

    @carnotaurussastrei2536

    4 жыл бұрын

    No, its impossible to draw a totally accurate heptagon

  • @vincentkeya9077

    @vincentkeya9077

    2 жыл бұрын

    no

  • @michaelkrupa131

    @michaelkrupa131

    2 жыл бұрын

    It's a Heptagon... Just not a REGULAR Heptagon. It's Off by 0.2%, an approximation created centuries ago by Albrecht Dürer, as noted by some others, and documented here in Wikipedia: en.wikipedia.org/wiki/Heptagon#Approximation

  • @abdillahiosmanomar9612
    @abdillahiosmanomar96125 жыл бұрын

    Thank u million times very helpfull

  • @evdokiastergiannis6948
    @evdokiastergiannis69482 жыл бұрын

    I tried this 4 times... i'm always off a few mm.... why is this. I did it with great accuracy each time

  • @Pencil0fDoom

    @Pencil0fDoom

    2 жыл бұрын

    Because there is a difference of .11 degrees between the angle subtended by the sqrt of 3 and 360/7.

  • @CoolToysOfficial
    @CoolToysOfficial5 жыл бұрын

    Thank you!

  • @vandnaverma8960
    @vandnaverma89605 жыл бұрын

    😊😊😊sahi hai

  • @pintificate
    @pintificate4 жыл бұрын

    This demonstration is not accurate, and should be labelled as such. It's a nice approximation if you want to draw pretty pictures, but the radius Q-M is too large. A trap for young players. Please correct this misinformation. .

  • @DarkonXBL

    @DarkonXBL

    4 жыл бұрын

    🤣🤣🤣 ok

  • @russellfroggatt

    @russellfroggatt

    4 жыл бұрын

    Been watching EEV Blog?

  • @exefus
    @exefus5 жыл бұрын

    Thanks helped a lot.

  • @KRT054
    @KRT0547 жыл бұрын

    You can not draw an accurate heptagon using your method. If you really want an accurate heptagon with 51.42857142857... degrees of accuracy then you need stacked planetary gears with ratios based on multiples of 2,3 and 5 with regards to gear teeth. No kidding!

  • @TheRojo387

    @TheRojo387

    4 жыл бұрын

    Only failing mathematical idealism.

  • @sg2657
    @sg26574 жыл бұрын

    Lots of love from India and please make in Hindi language

  • @cc.7870
    @cc.78706 жыл бұрын

    At least this video save my ass on my homework like goddamn

  • @official-obama

    @official-obama

    3 жыл бұрын

    It’s an approximation

  • @oldestdream2038
    @oldestdream20382 жыл бұрын

    Thank you so much (≧∀≦)ゞ

  • @AkashNayak-gu8fx
    @AkashNayak-gu8fx4 жыл бұрын

    Thank you so much

  • @Mittali
    @Mittali6 жыл бұрын

    Easy and yes, it's helpful. Thank you! ❤️😊

  • @rakeshgangnaik4675
    @rakeshgangnaik46755 жыл бұрын

    Thank you very much ! A very very useful tip!

  • @aniladkine998
    @aniladkine9985 жыл бұрын

    Thank-you for showing correct Regular heptagon

  • @davegillett7135

    @davegillett7135

    4 жыл бұрын

    Have you not read the other comments?

  • @official-obama

    @official-obama

    3 жыл бұрын

    It’s an approximation

  • @vishnudimbar8772
    @vishnudimbar87723 жыл бұрын

    Good night sweet dream 😴😴😴

  • @kevinhaynes9091
    @kevinhaynes90914 жыл бұрын

    I can see Pie in there...

  • @apunctg
    @apunctg3 жыл бұрын

    THIS IS DEFINITELY NOT ACCURATE ! ... try drawing it up in CAD ... it will give you an error of 0.8 degrees! - if you draw a circle with a 1m radius the error with this method is 1.35 cm - definitely not acceptable for engineering

  • @official-obama

    @official-obama

    3 жыл бұрын

    It’s an approximation

  • @r4_in_space

    @r4_in_space

    2 жыл бұрын

    I "discovered" another method by kind of reverse-engineering a regular heptagon and finding some relationships between the lines and I think it works, but I'm too lazy to try and prove it now (I think I'll have to use some basic trigonometry, but I'm in the 8th grade, so that's not happening). The only thing I know is that I didn't need to inscribe the heptagon in a circle to do it. Edit: the side lenght I used is arbitrary, but corresponds to about 2.95cm, so you have a sense for the scale, and I did not have a noticeable difference of inner angles from an actual heptagon. 2nd edit: I used some pithagorean theorem and quickly learned about sines and cosines and what not and it turns out my method isn't perfect as well, but I had a difference of about 0.11 degrees from the inner angle of a regular heptagon, so that's cool. Last edit: I just proved my method completely stupid and wrong just by measuring some angles. It's worse than tge one in the video, but at least it closes up nicely. And at least I learned to use sines and cossines correctly.

  • @shanmukhaamara2972
    @shanmukhaamara29723 жыл бұрын

    Drawn well bro it is easy to draw now 🤗

  • @official-obama

    @official-obama

    3 жыл бұрын

    If you want it to be perfect then get a stamp

  • @marrabellmoon7891
    @marrabellmoon78913 жыл бұрын

    Easy

  • @neet22aspirants46
    @neet22aspirants464 жыл бұрын

    Thanks sirrr

  • @mosuaibemansury1724
    @mosuaibemansury17245 жыл бұрын

    Jo aap ne circle banaya hai uske kiya naap hai

  • @mariuzz3426
    @mariuzz34264 жыл бұрын

    thanks

  • @soebredden
    @soebredden Жыл бұрын

    only for SMALL heptagons!!

  • @lakshaysethi9106
    @lakshaysethi91065 жыл бұрын

    Teri video se mera hexagon ban gaya

  • @bryantthe
    @bryantthe4 жыл бұрын

    this doesn't actually give you a regular heptagon.

  • @moniquezan2637

    @moniquezan2637

    Жыл бұрын

    Why

  • @bryantthe

    @bryantthe

    Жыл бұрын

    @@moniquezan2637 it's an approximation. One of the sides is longer than the others.

  • @SimchaWaldman
    @SimchaWaldman8 жыл бұрын

    Somehow I believe I'm going to fail again, just like all my previous attempts with another method. Too bad this is a comuter animation.

  • @mariolegaspi681
    @mariolegaspi681 Жыл бұрын

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

  • @anthonybond806
    @anthonybond8067 жыл бұрын

    perfect english Oxford XD

  • @DarkonXBL
    @DarkonXBL4 жыл бұрын

    Y'all judging this video saying it isn't a perfect heptagon should make a video showing us how *easy* it is to draw a *perfect heptagon with a ruler and compass* . Seriously do it and I'll STFU. Geometric theory can prove perfection in numbers, but it won't show you how to do something in a practical way. This video demonstrates how to be accurate (not perfect) and practical at the same time. I'm not gonna spend 12 fucking hours drawing a heptagon just because I want it perfect.

  • @official-obama

    @official-obama

    3 жыл бұрын

    It’s probably only possible using another tool

  • @michaelkrupa131

    @michaelkrupa131

    2 жыл бұрын

    It's a Heptagon... Just not a REGULAR Heptagon. It's Off by 0.2%, an approximation created centuries ago by Albrecht Dürer, as noted by some others, and documented here in Wikipedia: en.wikipedia.org/wiki/Heptagon#Approximation

  • @allenpryortube
    @allenpryortube7 жыл бұрын

    51 and 3/7 degrees. how to... hmm...

  • @SH-um9lu
    @SH-um9lu Жыл бұрын

    Sorry to say, but in this way you don't construct a regular heptagon. See en.wikipedia.org/wiki/Heptagon

  • @ArthurGeometry

    @ArthurGeometry

    Жыл бұрын

    Yes, it's only an aproximation.

  • @kevinklemz163
    @kevinklemz1636 жыл бұрын

    the smaller you go , the more off it is.No use to me.Thanks for wasting my time

  • @sumayyasumayya7282

    @sumayyasumayya7282

    3 жыл бұрын

    😁😆🙄

  • @ultracreador
    @ultracreador3 ай бұрын

    Bueno, regular no es. 😢

  • @542shivanithakur4
    @542shivanithakur42 жыл бұрын

    All lines are not equal

  • @mohamedemad1400
    @mohamedemad14006 жыл бұрын

    i don't get why there is so much math critics over here,listen to me ya all there is something called in phyiscs the common errors that is something that no matter how accurate we can get we won't ever be 100% accurate espacially when dealing with numbers for example the hour here at my country is 12:32 and if i checked my brother's phone it is 12:33 and my mother's phone is 12:30 now can someone explains to me why does that happen ??? although the seconds periods is designed equally in the three phones there still some glitches, maybe they are the same brand and the same model yet still no conclusion what is going on and we cannot decide which time is the completely 100% accurate yet it is not a big deal cause minute higher minute lower ain't that big of a deal especially when don't have any full 100% accurate methods which by it we can measure the time, another example the approxmation ratio which can includes that when you have number like 5.8777163536...we don't have time to write all of this shit but we can easily take a few three numbers from after the decimal and conclude it as the full number so the final would be 5.877 although this number is not equal to this number above the math laws consider it acceptable as in the Pi value we all now that pi equals 3.14159265359 but we only write it 3.14 and nobody complains about that and many mathematical problems uses 3.14 specifically not even 22/7 in order to solve the equations and the answer becomes this moment 100% accurate and there is also something you never asked yourselves when you were solving math limits problems which was when x was tending to 2 for example we write it 2 while it is better be known that the x wasnot actually 2 but it it was 1.99999999999999999..... still we called this x 2 and nobody asked why this because there is something called tolernce which is involved in dealing with decimals same problem you cannot just say somebody drawing a polygon wrong cause ✌decimals✌ we don't live in a perfect world we don't have perfect measurments we don't have perfect pencils to make perfect geomtrical shapes so before you want a perfect mind in order to make a perfect geomtrical figures as you want your heptagon angle to be accurately 51.4285714286 nah nah and acting like professionals and with a perfect godamn minds supply me with the perfect tools you perfect people are dealing with the you rule the world with your perfectness p.s thank you aurthur this video is great for education fun and amusing keep up with the good work and don't listen to anyone.

  • @mrmaestrouk

    @mrmaestrouk

    25 күн бұрын

    Wrong

  • @zim354
    @zim354 Жыл бұрын

    Tabbed

  • @elliejohnson2786
    @elliejohnson27866 жыл бұрын

    "And finally we will close our pentagon from G to A" 3:52

  • @official-obama

    @official-obama

    3 жыл бұрын

    Pentagon

  • @zim354
    @zim354 Жыл бұрын

    Dakdake abot Obet mo

  • @jagadeesh6485
    @jagadeesh64855 жыл бұрын

    Draw with hand and upload

  • @zim354
    @zim354 Жыл бұрын

    Iyot tako?

  • @artist-mimie
    @artist-mimie4 жыл бұрын

    Time wasting

  • @shivdinvishesh1473
    @shivdinvishesh14733 жыл бұрын

    Thanks sir

  • @Hollywood_Movies567
    @Hollywood_Movies5672 жыл бұрын

    Thank you

  • @muhammedbilals5137
    @muhammedbilals51374 жыл бұрын

    Thank you sir

  • @bunujojobabu107
    @bunujojobabu1075 жыл бұрын

    Thanks sir