How to find the Area of a pentagon

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  • Опубліковано 9 лют 2025
  • How to find the area of a regular pentagon with right triangle trigonometry.

КОМЕНТАРІ • 113

  • @alexchristian5399
    @alexchristian5399 4 роки тому +34

    Thank you so much I couldn’t find a video for doing it with a pentagon and you just did the exact same problem for me. My teacher still says the answer is wrong but that’s just her

    • @darwinfromjupiter5817
      @darwinfromjupiter5817 4 роки тому +1

      Lmao

    • @danielschaben
      @danielschaben  3 роки тому +3

      I would love to know why she thinks it is wrong. I do a lot of rounding here.... maybe? Also sorry for late reply.... I am really just learning about comments in this thing. If you have any other questions about math, shoot me a message.... hopefully I can get to it

    • @alexchristian5399
      @alexchristian5399 3 роки тому

      @@danielschaben I honestly have no clue that was my 9th grade geometry teacher and it was a question on the homework if I believe. When I submitted the assignment I didn’t get the points for that problem I think she rounded to a different decimal when doing the equation

    • @danielschaben
      @danielschaben  3 роки тому +2

      @@alexchristian5399 UGHHH that is what I thought. I don't ever diss teachers because our job is hard as FFFF. But some times I want to pull my hair out. It is wrong because it is rounded incorrectly... OMG.... I am sorry if that is truly the case...

    • @alexchristian5399
      @alexchristian5399 3 роки тому

      @@danielschaben it definitely wasn’t your fault and it wasn’t a big deal to me anyway, she rounded to a smaller (I think it was the thousands) decimal when doing anything so it would have been me just being lazy and not converting what you did to how she did it but overall this problem really helped me because I would have failed that test without at least knowing the equation for pentagons so thank you

  • @pantojafambam5087
    @pantojafambam5087 5 років тому +86

    Better then my math teacher wish me luck for my test tomorrow 🙏

    • @LavenderWordsworth
      @LavenderWordsworth 5 років тому +3

      Tell me ur grades

    • @daudhussain8251
      @daudhussain8251 4 роки тому +3

      Grades

    • @Kizimfn
      @Kizimfn 4 роки тому +4

      I did this in grade 3 and i got a 98 :) Canada schools btw

    • @heapt1
      @heapt1 4 роки тому +1

      Daud Hussain thankfully it wasn’t health care

    • @Uhhhhhh_Idkman
      @Uhhhhhh_Idkman 4 роки тому

      lol i have a test right now

  • @calvinnigh5489
    @calvinnigh5489 6 років тому +12

    Those two dots You left are killing me

  • @saminshohel4579
    @saminshohel4579 6 років тому +5

    thank so so much u just solved my problem within seconds keep up your good work

    • @danielschaben
      @danielschaben  3 роки тому

      Wow, I can't believe I missed this. So glad I helped you! Two years ago.... I hope you are working for space X now and getting ready to launch SN11. Or the equivalent of that in whatever you are doing on the planet.

  • @NPERROTTE75
    @NPERROTTE75 Рік тому +1

    I believe this video helped me to remember what to do using Trigonometry.

  • @maxpercer7119
    @maxpercer7119 2 роки тому +1

    For those who want the full formula for the area of an n-gon with sides of length s,
    by partitioning the regular n-gon into n isosceles triangles with altitude called the apothem (a),
    we get area A = 1/2 * s * a * n .
    Typically the apothem length is given , but it is not necessary to find the area since by trigonometry
    a = s / ( 2 tan (180° / n ) ), and then by substitution (and simplifying)
    A = (s^2 * n) / ( 4 tan (180° / n ) ).

  • @tinkywinky_teletubby7212
    @tinkywinky_teletubby7212 10 місяців тому

    Thank you so much, you pointing out abput switching to degree on the calculator saved me so badly!

  • @Biz503
    @Biz503 6 років тому +2

    brilliant very good at explaining and keeping it simple

  • @incizor1273
    @incizor1273 Рік тому +2

    Just a small note: those triangles can’t be regular since that means each angle is 60 degrees and you determined that the angle in the centre is 72 degrees. But I guess they are isosceles and bottom angles are (180-72)/2= 108/2= 54 degrees each.

    • @danielschaben
      @danielschaben  Рік тому

      Yes they are. Iscosceles. It is possible regular slipped out as I do not script these

  • @zeeshanchopda8489
    @zeeshanchopda8489 6 років тому +5

    thanks now you will pass men in maths

  • @shouritamraparni2730
    @shouritamraparni2730 4 роки тому +3

    This is brilliant thank you 😬

  • @ArionnaBehounek
    @ArionnaBehounek 9 місяців тому

    Yall I'm doing this the night before my end of year exam, blud out hear saving lives 😭

  • @adrislijp8986
    @adrislijp8986 6 років тому +3

    Thanks this helped me lots :)

  • @DylanMarie620
    @DylanMarie620 4 роки тому +5

    Oh gosh this was life saving

    • @danielschaben
      @danielschaben  4 роки тому +1

      Glad I could help

    • @uniqueartofvaibhavi5600
      @uniqueartofvaibhavi5600 3 роки тому

      I don't understand. I am in class 5😭

    • @danielschaben
      @danielschaben  3 роки тому

      @@uniqueartofvaibhavi5600 Send me a message can you direct message me? I don't understand how communications work in youtube land.... I would gladly make videos for you as often as I could.

  • @yousifkamaash5218
    @yousifkamaash5218 4 роки тому +2

    Thank you for these lectures and I have a question about an equal sides Pentagon inscribed inside a triangle the vertix of Pentagon on the base of triangle , the dimensions of the triangle are 77, 106 , the base 113 . with my best regards .

    • @danielschaben
      @danielschaben  3 роки тому +1

      I am just figuring out this comment thing..... I am intrigued by your question, but don't understand it. I think this problem would be super cool, but can't picture it from your description

  • @deviousdeclan8478
    @deviousdeclan8478 5 років тому +1

    Helped so much! Thanks a lot!

  • @abigailchua3860
    @abigailchua3860 3 роки тому +1

    Thank you so much sir.

    • @danielschaben
      @danielschaben  3 роки тому +1

      You are very welcome. So glad I could help!

  • @GG89..
    @GG89.. 3 роки тому

    Thank you for the help!!

  • @NarenlynMimari
    @NarenlynMimari 8 місяців тому

    Please can you find the height of the Pentagon

  • @akashchaudhari9858
    @akashchaudhari9858 5 років тому +1

    Thanks this helped a lot

  • @jakob7722
    @jakob7722 7 років тому +5

    Thank you

  • @sammeh5662
    @sammeh5662 3 роки тому

    Thank you so much, this helped a lot.

  • @anzhang314
    @anzhang314 10 годин тому

    Can you do it without trigg?

    • @danielschaben
      @danielschaben  8 годин тому

      @anzhang314 yes. Trig is more useful. I hate using the formulas. About all you ever need for area formulas rectangle and circle and if you know how a circle area is derived from a rectangle. Rectangle is all you need

  • @darwinfromjupiter5817
    @darwinfromjupiter5817 4 роки тому +1

    Thank you so much

  • @BoiBook
    @BoiBook 4 роки тому

    Very nice! I also did the math like this way!

  • @onlinethings9238
    @onlinethings9238 3 роки тому

    sir thank yo for he help but I never knew pentagrams was going to be this complex lol

  • @Iris-tl7ld
    @Iris-tl7ld 7 років тому +1

    Thank you this really helped :-D

  • @Ooh_Very_Berry
    @Ooh_Very_Berry 4 роки тому +1

    What if the side is an equation with variables?

    • @danielschaben
      @danielschaben  4 роки тому

      What is the expression and the number of sides? I could make the video tonight. But really everything is the same you would just substitute the expression in for the side length. My guess is your problem comes out to some nice expression at the end.

    • @Ooh_Very_Berry
      @Ooh_Very_Berry 4 роки тому

      @@danielschaben "15/7x - 13(1.618)/3" is the side.. It's reallyyyyy hard and my teacher's example was very far from her quiz..

    • @Ooh_Very_Berry
      @Ooh_Very_Berry 4 роки тому

      @@danielschaben oh and it's also a pentagon

    • @danielschaben
      @danielschaben  4 роки тому

      @@Ooh_Very_Berry Will try and get that up tonight. For central timezone... it will be 10 pm or so

    • @Ooh_Very_Berry
      @Ooh_Very_Berry 4 роки тому

      @@danielschaben ok thank youuu

  • @parasaarti3553
    @parasaarti3553 5 років тому +1

    I like the
    video

  • @jimmymchugh8305
    @jimmymchugh8305 4 роки тому +1

    Cheat draw a oblong box around it then cut out pentagon -assemble surrounding triangles firm them into box minus it from original box =

  • @subratabhattacharya6496
    @subratabhattacharya6496 4 роки тому

    Why did not we use pythogorous theorem to calculate the value of 'a' ??? Please explain ? Is not the value of the hypotenuse is 12 ?

    • @danielschaben
      @danielschaben  3 роки тому

      I hate that I did not see this until now. If this was a hexagon, it would be 12. But as a pentagon you have to use right triangle trig with Sine, cosine, and tangent to figure out the apothem and the radius

  • @plainki2174
    @plainki2174 7 років тому +3

    Life saver

  • @atlast7035
    @atlast7035 3 роки тому +1

    0:53: They are not regular triangles.

    • @danielschaben8312
      @danielschaben8312 3 роки тому +1

      Correct. I should script these before I make them. But it just doesn't always work out. Thanks for the catch and comment.

    • @atlast7035
      @atlast7035 3 роки тому

      @@danielschaben8312 I'm glad I could be of assistance! And we all make mistakes, plus this was just a minor one, but I thought it was worth noting.

  • @bells9907
    @bells9907 3 роки тому

    what age is this aimed towards???

  • @sbricks5450
    @sbricks5450 6 років тому

    Thanks so much!

  • @Moistcrafter
    @Moistcrafter 3 роки тому

    Noice, but how to calculate volume for a 12 sided pentagon object

    • @danielschaben
      @danielschaben  3 роки тому

      Similarly. It just takes a different central angle. 360/12 to get it. This method works for all regular polygons. Thanks for the comment!

  • @MandeepSingh-mx1qf
    @MandeepSingh-mx1qf 4 роки тому

    Is adjacent always 6 over a

    • @danielschaben
      @danielschaben  3 роки тому

      I wish I would have seen this sooner. I think you mean Tangent of the angle. It is only 6 because of the length of the sides. But with a pentagon you could come up with all apothems by using tan(36)=(opposite side/apothem)

  • @gangwal4562
    @gangwal4562 6 років тому +1

    gud

  • @oofoof5208
    @oofoof5208 5 років тому

    My google calculator got something different for tan(36)?

    • @danielschaben
      @danielschaben  5 років тому

      Check to make sure it is in degrees and not radians

  • @granttaylor5571
    @granttaylor5571 5 років тому

    I love math class with my teacher mr schaben

  • @justdailylaura9518
    @justdailylaura9518 3 роки тому

    anyone else here just 2 days before their math test 😅

  • @AAVlogs-id4mm
    @AAVlogs-id4mm 6 років тому

    How did u get 5 ?

  • @TheMagicSquirrelofDoom
    @TheMagicSquirrelofDoom 7 років тому

    thanks

  • @adedoyinoka6164
    @adedoyinoka6164 3 місяці тому

    I dont understand it my head will explode 😢 i can't take it anymore 😭,and why did we not just multiply both sides by six rather than crossmultiply it at first

  • @ackaston8746
    @ackaston8746 Рік тому

    I can do one with only side length 😂 and I'm only a child 😂

  • @rambadan4609
    @rambadan4609 2 роки тому +1

    Indian

  • @kimberlygiliberti2441
    @kimberlygiliberti2441 4 роки тому +1

    i love math

  • @DocoMoro
    @DocoMoro Рік тому

    247,8

  • @Southmovies509
    @Southmovies509 2 роки тому

    Please tell hjndi

  • @abdulrazak1601
    @abdulrazak1601 3 роки тому

    csv340021 021 vss

  • @oj6633
    @oj6633 4 роки тому

    All that just to find a goddamn apothem

    • @danielschaben
      @danielschaben  3 роки тому

      I love this comment. I feel the same way about math some times.

  • @jallani19
    @jallani19 Рік тому

    WESTERN nation students using calculators.
    Asians laughing in the corner.

  • @lodshane3630
    @lodshane3630 3 роки тому

    Laura

  • @mihaleben6051
    @mihaleben6051 9 місяців тому

    This even worse than usual dear god.

  • @robertlaughton2270
    @robertlaughton2270 3 роки тому

    overly complycated

    • @danielschaben
      @danielschaben  3 роки тому

      probably. thanks for comment. i'll see if i can simplify.

    • @bells9907
      @bells9907 3 роки тому

      @@danielschaben I thought it was rlly simple

  • @lakshitathiside
    @lakshitathiside 3 роки тому +1

    Thank you