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To answer that we would have to take a look at how the formula is derived.
Yeah but even this makes little sense to me. Imagine a person you needed to explain in kindergarden language a particular mathematical term to. That person is me. Take it as a personal challenge to explain to someone dumb as me and you will cover yourself in the glory of what it is to be a true educator
Thank you all for your replies. but can anyone show me how the numbers get put into this equation? I often need to see a worked example to get the feel for how these formulas work otherwise they leave me a little confused ( I am not a mathematician LOL ). I mean on that site it shows you the expansion as
It's too bad that there is no exact closed formula for the ellipse circumference...
Thanks for confirmation! I just entered some random values for a and b in for WolframAlpha and it came up with that too...
Hi zf.
You can get the perimeter of a circle easily in that integral setting a = b = 1, but for differing a and b, I am stuck.
I've never seen those formulae on that page, but they do look quite interesting. Fractional factorials can be more readily computed using the gamma function, defined as: with . As for the calculation of the perimeter of an ellipse... well, my first thought was just to say General form of an ellipse: Clearly, but the arc length of a function is given by and we get here I use the substitution x = asinθ and end up with which doesn't seem to help at all and looks like I've just written the ellipse in parametric form! And I am stuck here... can anyone help? (Is this where the famed 'elliptic integrals' come from...?)
Hi
hi Norvegicusbass
While reading about calculating the perimeter of an ellipse on the Math Is Fun website I came across a formula that I just dont understand. I am sorry that I cant seem to upload an image of the formula but its titled Infinite Series 2 and the author quotes it as being their favourite method. Thing is I dont understand how the thing breaks down in laymans terms. It has Binomial Coefficients and Factorials of Half Integers which I dont follow. Infact when I try to use my calculator to work out half integer factorials it doesnt work! I dont understand how you arrive at the numbers that you plug into this equation to obtain the answer. Because of the ruling that only established members can post links I cant show you a link to the page but it is on the Math Is Fun site. 