Deriving the Formula for Area of a Regular Hexagon

[@embracehorizons]

Tell your students this is something that may be useful in the workforce. I'm machining a retaining nut out of 2.5" stainless steel. The blueprint I was given dimensions the nut at 1.750" across the flats. I need to find the diameter of the hexagon across the vertices, because that's the diameter I need to turn the material down to in order to be able to cut the flats with an end mill in one cut. Your method of derivation reminded me of breaking the hex down into an equilateral triangle, finding the height of the bisected equilateral triangle which is also called the apothem, which is one half of the dimension I was given. From there you realize the diameter from vertex to vertex is double the length of the hypotension of the bisected equilateral triangle. Thank you so much!

[@ptyptypty3]

omg, I just now discovered your Fantastic derivation?? wow, Thank you for a very CLEAR and Succinct presentation!! You are a very VERY good Teacher.. I see this was posted about 4 years ago.. .. I read the other comments and I see you are not one of those Posters that Replies to comments. No problem. Keep up the great videos.. :) Peace always..

[@elis1176]

thank you so much!! I was struggling to find the area of a hexagon and you’ve helped me!

[@catherinevanek8222]

Concise and precise: explains well from a Math Prof.

[@ddtalks2821]

(2:44) - Altitude bisects angle? : Isn't that ONLY true because the triangle is isosceles (really equilateral) along the two legs that attach to the 'side'? if the triangle was scaler the altitude would not bisect the angle in question.

[@gmshakir7148]

Respected Milkosky I have a question please can you solve it for me ?

[@Forwardoperationbase]

I'm 42 years old, I'm trying to find the area of my livingroom to lay down tile and just like in my high school year I have no idea what the teacher said, I was too busy checking her out 🥰😍😍😍

[@levitate4805]

is your room hexagon sir? hahaha

[@sourav3747]

Thank u mam from INDIA

[@zakariazaki7513]

Thanks for lesson keep going 🤠 greeting from Morocco

[@Decgtdcv]

Thanks from India

[@saulgoodman317]

thank you! helped me study for my test tomorrow

[@karimvalimohamed6866]

nicely done!

[@G_A_M_E_R_9]

Thanks a lot.....

[@punniyakalakala5368]

Super & thanks ❤❤❤

[@satish4832]

Thanks mam for this amazing explanation

[@sourav3747]

Very helpful madam

[@khinsoeyu9878]

Thanks 🙏🙏🙏

[@gmshakir7148]

Respected Mam I have a question please I can't solve, can you help

[@berlie3333]

Anyone can help me to get the square meter of my gazebo roof with hexadecagon 🙇🙏

[@piyushsinghrajput111]

Thanks it was informative mam

[@travisbautista5375]

thank you very much!

[@pelophandle7889]

Next time plz do surface area and volume 🙏 because I'm struggling

[@kailashkailash2384]

Love umam❤️ from India, odisha

[@savitriagrawal9674]

Why x root 3

[@crusader8331]

Use tan 30

[@obleaaldrineb.5493]

How about we have the area of the hexagon but we need to find the lenght of the side of the hexagon How to do we solve it?

[@levitate4805]

length? for prism?

[@toptickstutoring6528]

Just rearrange the formula to make 's' the subject

[@galegaming6381]

u r such a cool teacher!

[@wearelearner69]

Nice

[@irig8475]

thanks mam thank you so much

[@jackielim5078]

Does the x root 3 only work for hexagon?

[@levitate4805]

it's the special right triangle. 30 60 90 the ratio is 1:√3:2

[@crusader8331]

Bro Simple just use tan 30

[@BEGINNERS-BABA]

Thanks 😊

[@alamshaikhahmad2415]

4.33×2,5=10.8253×6=64.9619

[@Rainsnstroms]

Thanks!

[@lakkakulasridhar6461]

Thank u so much

[@Gaayathri_Ganesh]

Thank you soooo much!!! : )

[@chedullajanaki7760]

I understood thank you a lot

[@premsisodiya2114]

V.v.nice

[@khushbooomparkash6397]

How 60 ?

[@AwankhadeAwankhade]

That's better

[@faeghehghasemi7699]

❤

[@sailakshmi6884]

Okay

[@AnuragYadav-ym2ow]

You are not maths teacher for sure