I may be misunderstanding, but the length of an ellipse circumference is not
gotten by that formula. As a matter of fact, the circumference of an ellipse is
rather difficult to calculate. That is where Elliptic integrals come in.
Hi All
Can anyone help me with regards ellipse geometry.
I have an issue were i have to be able to calculate the major and minor axis of an ellipse when i have the circumference.
I know Ellipse Circumference = pi*sqrt((major^2+minor^2)/2)
My relation from major to minor is: major = minor + constant (say 2.5 to start)
This now leaves me with:
Ellipse Circumference = pi*sqrt(((minor + 2.5)^2+minor^2)/2)
I have re-arranged the equation to give me:
2*((ellipse circumference/pi)^2) = (minor + 2.5)^2 + minor^2
Continuing to manipulate I get:
2*((ellipse circumference/pi)^2) = 2*minor^2 + 5*minor + 6.25
I am now stuck on where to go to calculate minor if i know the circumference as using a quadratic equation -b (+/-) sqrt(b^2-4ac)/2a I am left with a negative square root which i can not solve.
Can anyone HELP, where do i go from here?
Hi Galactus
I got the approximation formula from the following link
www.csgnetwork.com/circumellipse.html
Ive done an initial bit of re-arranging which i why my formula stated looks different to that in the link.
simplependulum
Given that formula you have can you tell were it came from?,
Given that formula you have stated, what is "n", and how would i solve to get a or b, i will still be left with having to solve 2*minor^2 + 5*minor + 6.25 were i replace a with b + constant (2.5)
Cheers