Why the Ratio of Circumference to Radius in a Circle is a Constant

[@seannee3896]

Great! I am trying to deepen my understanding of basic mathematics by learning the original way people like Archimedes and Newton thought about mathematics. This is perfect.

[@bfedkjwerfegregfrerg]

I think, so far, this is the best demonstration of the constant relationship between the circumference of any circle and its diameter.

[@jahinraisa4086]

hey......u stole my words...

[@amreshn2000]

Very good explanation C/R is constant

[@pallavsharma4079]

You just nailed it, bro! thanks!

[@Ctrl_Alt_Sup]

The geometry is intuitive. A circle, no matter how far you look at it, remains the same. And therefore the relationships between the measurements remain the same too. It is this intuition which leads to the formulations of algebra... algebra allows us to rationally formulate expressions like "we see that..." PS: many men, at all times and in all places, have certainly had these same intuitions, have made these same observations which have led them to the same results.

[@devdutta4315]

Excellent work sir .Lots of thanks

[@hishamsaad4129]

Wow thank you so much. You answered I spent all my life wondering it

[@yunogasai5985]

how is OA/Oa = AB/ab ???????????????????

[@mohitraina8513]

Don't have words to express my happiness over this video... amazing.... speechless 😶

[@mordernphysicsspshukla1773]

It will help me in JEE Advance this is such a nice theorm

[@wosm100]

I'm from Bauru Brazil and I wanted to thank you so much for explaining me this. And sorry for my bad english

[@wosm100]

Sir, I wanted to thank you for this

[@MahmoudIsmail1988.]

Disciplined and comprehensive demonstration

[@technobutt2696]

My old maths are fuzzy.. but how did you get to the assumption (not that I think it's incorrect), that OA/Oa=AB/ab? I may have missed the rationale behind that, but other than literally measuring an example, what ensures the length of the two longer sides scale as a factor in proportion to the two inscribed shorter sides of the complementary triangles? Is that a Pythagorean implication?

[@derekpoon5308]

It is because triangle Oab and OAB are similar. He mentioned it at 2:40.

[@ROMPJ]

Look for "Proof that the corresponding sides of similar triangles are in the same ratio" in youtube

[@sarvajagannadhareddy1238]

FINDING DIAMETER OF CIRCULAR OBJECT 1.Take a circular object. 2. Wrap a paper tape around the object. 3. Measure the length of the tape with Straightedge, and we get its circumference. 4.Multiply the circumference with square root of 2 and divide with (14 - root2) = 12.58578644...5. Add circumference to the 4th Step. 6 Finally divide Step 5 with 3.5. We get 100% correct diameter of circular object.

[@madhavsanap6690]

Superb. Just nailed it.

[@yacobsmichaelson4838]

Thanks bro for sharing #happy #revelation

[@mahmoudalbahar1641]

Thanks for this beautiful proof

[@IntelR]

Beautiful!

[@sudiptoatutube]

Thanks for this great explanation! But how is this constant ratio between circumference to diameter is coming to 22/7? So put in other words, how exactly the circumference comes exactly to 22, when the diameter is exactly 7?

[@paragggoyal1552]

its not exact its approximate i think your question is: what is the proof of -> circumference = 2*pi*r

[@sudiptoatutube]

@@paragggoyal1552 Alright, thanks

[@ck3908]

very nice

[@shubhankarbansod8437]

Keep it up....you help lot of once👍

[@MathQuantum]

You are welcome!

[@mihir_666]

This explanation is wrong. Because when n tends to infinity, all the triangles will become a straight lines

[@wosm100]

I searched and asked, but I could not find the answer for : why is it the radius measure = 1

[@zack_120]

Unfortunately the derivation of π is skipped.

[@sourabhsahu2001]

IF C/R=Constant (let's π)...why C=πR (constant). Who else agrees

[@henriquearmani714]

This is not an actual proof! Using angles defeats the point, as the definition of angle presupposes that all circles are similar.

[@rifatzehra6546]

Please tell me that how OA/Oa = AB/Ab at 3:24 . Correct is OA / Oa = OB / Ob......why u have written AB / Ab?? Reply me soon otherwise i will kept disliked this video....tell me correct then i will like your video.

[@MathQuantum]

Did you follow my argument that triangles OAB and Oab are similar triangles? Once we establish that, then we use the property that the ratio of corresponding sides of two similar triangles are equal and therefore: OA / Oa = OB / Ob = AB / ab.

[@crackeddnutt6617]

Rifat bro you are dumb. Please learn some basic math😂😂

[@danksamosa3952]

How is it a regular polygon

[@MathQuantum]

We have chosen to create regular polygons inside these two concentric circles to present the argument.

[@danksamosa3952]

@@MathQuantum all sides are equal in a regular polygon.

[@harishkothari7441]

Explanation is wrong

[@vinitsoni7361]

bakwas 😐😓😣😴😫

[@crackeddnutt6617]

Yes bro. He just proved it for two circles which share similar center. That is not a proof for all the circles. 🙏🙏🙏 Misleading. 😂😂😂 Irony #Vinit Soni You dumb bro