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realitybugll
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perimeter of an ellipse -- exact formula
I found an exact formula for the perimeter of an ellipse in terms of its major and minor axis
a = 1/2(major axis)
b=1/2(minor axis)
my equation for the perimeter of an ellipse:
[tex]4{\frac{\frac{(a^2+b^2)\frac{1}{b}\pi\sqrt{2}}{4}}{\frac{\sin^{-1}(\frac{a}{\sqrt{a^2+b^2}})-45}{90-(\sin^{-1}(\frac{a}{\sqrt{a^2+b^2}})-45)}+1}}[/tex]
on cabri II plus i drew a proof that shows how i got this -- if u want that tell me.
any insight is greatly appreciated![Big Grin :biggrin: :biggrin:](data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7)
I found an exact formula for the perimeter of an ellipse in terms of its major and minor axis
a = 1/2(major axis)
b=1/2(minor axis)
my equation for the perimeter of an ellipse:
[tex]4{\frac{\frac{(a^2+b^2)\frac{1}{b}\pi\sqrt{2}}{4}}{\frac{\sin^{-1}(\frac{a}{\sqrt{a^2+b^2}})-45}{90-(\sin^{-1}(\frac{a}{\sqrt{a^2+b^2}})-45)}+1}}[/tex]
on cabri II plus i drew a proof that shows how i got this -- if u want that tell me.
any insight is greatly appreciated
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