Surface Area of a Cone Formula Derivation Concept with Visual Easy Approach

Related Video: • How to Find Height of ...
Cone and Sector Playlist: • How to find Volume of ...
/ @mathematicstutor
Learn From Anil Kumar: [e-mail]
#ConeSector #segmentarea #sectorarea #RadianMeasurements #ibslmath #IBHL #IBHL #globalmathinstitute #anilkumar
Cone is formed by removing a sector from a circle and then folding. Radius of the circle becomes the slant height and its arc length is the circumference of the cone base. Curved surface of the cone is called lateral area. A sector of a circle is a part of the circle bounded by two radii and an arc of the circumference.

[@nora_8080]

I can't thank you enough for this. When you study for yourself, you learn to memorize some simple formulas and never really question where they come from, but now that I have to explain math to other students I find that there is a mountain of stuff I didn't know about math and geometry.

[@MathematicsTutor]

Thanks for sharing. Same Here! It is all part of Learning!

[@guptagsaurabh]

I also like his mathematical elegance.... the way he uses simple concepts to explain complex ones.

[@MOONLINETHAKUR]

Hello nora

[@nora_8080]

@@MOONLINETHAKUR Hi!

[@fuadkhanmd]

Except for the early portion of the autofocus (and I almost moved away), I think this is one of the best educational video. Making sure we follow every step perfectly. Bravo

[@valkaivalvarthakey9351]

Sir u r very expert sir

[@kashishnegi_cse_2417]

Thanks

[@femioyewole815]

Time has got nothing on this video. Very well explained.100 years from now ,it would still be useful to generations to come.

[@vijayreddy779]

nice explanation sir i watched many videos to derive cone csa this is the best thank you very much nice voice also

[@pratiksirsath9046]

We can simply find area by simple sector area formula like 2πl(theta/360°)= 2πr....(1) πl²(theta/360°)= Curved surface Area of cone And now substituting the value of (theta/360°) that we got from equation 1 now we get formula (πrl).

[@amarnath802]

Excellent explanation of curve surface area of right angle circular cone

[@dawon7750]

Thanks a lot sir! So kind of you to go into needed details!

[@zacherylunnonvesty]

Turn autofocus off, and set the focus automatically so it doesnt drop out of focus :)

[@MathematicsTutor]

Thanks a lot. Will do so. Highly appreciated.

[@MathematicsTutor]

Improved a bit: kzbin.info/www/bejne/qJ-YonWYmdqWpZY Let me know if that helps. Thanks

[@dritanbeqiraj4764]

Thanks to this explanation i got an A in math.Thank you very muchh.

[@simonsadiq]

The best ever explanation! thanks for sharing!

[@biohistoryfacts9060]

Thank you sir, your explanation is great.

[@adityaprakash2779]

Why to make it so difficult sir Area of a sector= pi * r^2 * (length of arc/(2*pi*r)) In his case Radius r is l Length of arc is 2*pi*r So =pi*l^2*(2*pi*r/(2*pi*l)) = pi*r*l

[@Smitty-op4ld]

Couldn't find any video on this only the formula, but I couldn't settle without knowing where they came up with the multiplier.

[@prayas2.0jeebatchquestions5]

Amazing' lecture

[@MathematicsTutor]

Thanks

[@gunsshekharraman3907]

Thanks sir it was good 👍

[@mitchelmacey7788]

Thank you for the great explanation. The pacing was perfect. This is such a difficult thing to visualize as one part depends on your knowledge of another mathematical concept.

[@MathematicsTutor]

Thanks for your time and appreciation.

[@gaaraofddarkness]

beautiful way to visualize...thanks a lot

[@shaloamnenja12yearsago29]

My teachers completely overlooked this, thank you so much.

[@dktchr3332]

Except for the autofocus problems early on, nice geometric treatment of the lateral surface (+/- the base) area of a cone. Presentation also hints at a Riemann sum/integral as a solution for those who are interested.

[@SerenitySong6]

I've looked at a few proofs for this and this was the simplest and most elegant

[@ydufy867]

That's really good

[@sujitsingh9554]

Best explaination so far. I think we can do the same technique of yours to also determine area of circle itself. πr^2

[@MathematicsTutor]

Yes, Thanks

[@deepmalarai818]

Great work👏

[@muniraosman9670]

Thank you for your help. I’m so glad to find out this amazing video. Your explanation was perfect! Thank you again 🙏

[@henrycarpenter5733]

Excellent pacing, but the focus kept shifting, and your r's look like v's!

[@roohifatma7014]

Very good explanation thankyou sir it helped me a lot, you are a genius

[@slightlygruff]

Why did you draw it like a parallelogram? Should have drawn it as a rectangle from the get go. Other than that, great vid!

[@vrindha823]

Really nice class sir

[@ryantay867]

Slow and easy, great work! Nice video

[@r.kcreations1765]

This make my doubt clear .thanks very much sir.Bring more such type of vedio .

[@MathematicsTutor]

Thanks. Here is related Playlist: kzbin.info/www/bejne/eKu5q6SVms2ajtU

[@Batman_yt..]

Great explanation sir

[@sambangiganapathirao5094]

What is the blurr in middle of the very video

[@jtflypegasus]

Nice derivation without the use of integral calculus....✔

[@shashwat1330]

Thank you for the derivation. It was very nice.

[@uzairmuhammad5853]

Great!

[@bijoylove123]

The best xplanation ever... Fr dis derivation

[@MathematicsTutor]

Thanks for appreciation

[@cursebr2937]

How is the area of trapezium the slant height and product of base length

[@cursebr2937]

Did u mean rectangles

[@unfair2856]

Turn autofocus off pls

[@KingChronoss]

Beautiful. Don't know why I couldn't figure out why the cone portion wouldn't be Circumference * Slant but you broke it down amazingly.

[@MathematicsTutor]

Thanks for appreciation and your time.

[@AyushKumar-qw7jo]

Thanks for telling such a simple way ❤️

[@sivaramk2325]

very nice explanation

[@diyaanoop593]

that was helpful 👍🏼👍🏼tysm

[@sourabhbhartiya6369]

Really ,,it was a great explanation ......

[@MathematicsTutor]

Thanks a lot

[@hunarbhardwaj9397]

sir literally op sir u r great

[@pratijitpodder4345]

I would’ve never thought of that.

[@devendrasingh5192]

bhut acche se smajh aaya...

[@luckybeautyparlour7]

Devendra singh very nice derivation present by you

[@MathematicsTutor]

Thanks for appreciation. Bahut Bahut Dhanayavaad!

[@kavita3054]

Very nice

[@jayeshsolanki4633]

Thank you sir

[@lonewolf5138]

Thank you Sir for such a good stuff

[@MathematicsTutor]

Thanks for appreciation

[@MohammadAliKhann]

Problem of camera.

[@sampatiraosonia7052]

Thanku sir

[@umedduhan9065]

Video is not clear

[@manishajangra8592]

2πr is the circumference of whole circle, how can you take 2πr in case of sector

[@MathematicsTutor]

Since small r is the circle spread out radius

[@manishajangra8592]

@@MathematicsTutor I want to ask 2πr is the circumference of whole circle, so lenght of the sector should be 2 πr( angle between both L)/360°. Plg clear this. I am still confused

[@timothymcdonnell1186]

@@manishajangra8592 The sector in question is of a circle of radius L. The arc is the same as the circumference of the base circle, i.e. 2πr.

[@omprakashsingh7652]

Volume sir

[@MathematicsTutor]

Playlist for you: kzbin.info/www/bejne/bJK9iaugrdyHsLs Thanks

[@tanishqingle7316]

Its too blur to understand

[@udaysampat7984]

Keep your camera straight

[@MathematicsTutor]

Thanks a lot for the suggestion. Hearing from you after a long time. I am still struggling with the old equipment. Hope to replace it soon. Thanks

[@DazHuang72]

So basically calculus

[@goldisingh9156]

Improve your vedio quality

[@sparshchawla3601]

Blurry thing in the video is causing distractions. Can’t watch for even a minute.

[@MalkhanSingh-ih3ky]

Blurring is distracting. Not watch even 1 min

[@madhurrajput2549]

Saal bhar ki bana leta video

[@100rabhish]

WORST EXPLANATION..

[@davidbanahene307]

Worst comment

[@abdulrazzak879]

waste

[@MathematicsTutor]

Thanks

[@abdulrazzak879]

there is no clarity only what thanks

[@MathematicsTutor]

Yes, I also think so. Will improve. Watch the current videos. Thanks

[@MathematicsTutor]

Improved a bit: kzbin.info/www/bejne/qJ-YonWYmdqWpZY Let me know if that helps. Thanks

[@davidbanahene307]

abdul razzak foolish comment ever on KZbin. Jerk

[@ukidding]

thanks

[@dipikabharati4302]

Thank you sir

[@HunterAabid]

Thanks