My Math Forum Find ellipse sector line length?

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 September 28th, 2018, 09:00 AM #1 Member   Joined: Sep 2014 From: Sweden Posts: 94 Thanks: 0 Find ellipse sector line length? So if I know a and b of the ellipse and also the angle of it. How can I calculate the curved line from the point of b to the point of a? I want the length of the curved line. For example: In a circle you can calculate the circle sector by knowing the angle and the radius.. If possible using a, b and the angle of the ellipse. How can you calculate the same thing for an ellipse?
 September 28th, 2018, 10:06 AM #2 Math Team   Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 13,602 Thanks: 954 Very easy...according to the Master: Ellipse -- from Wolfram MathWorld
 September 28th, 2018, 01:15 PM #3 Member   Joined: Sep 2014 From: Sweden Posts: 94 Thanks: 0 So is it r1 + r2 = 2a that I should use to get the length of the curved line? I don't find the article clear about what gives me the curved lines length?
 October 17th, 2018, 02:14 PM #4 Newbie     Joined: Oct 2018 From: Arizona Posts: 1 Thanks: 0 There is no simple formula for arc length for an ellipse. The calculation leads to what are called Elliptic integrals, which are non-elementary. Google it and you will likely find more than you want to know.

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