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?