An Elegant Formula Derivation for The Circumference of An Ellipse

It is a widely accepted fact that the circumference of ellipse has no discrete formula. This happens, in part, because the orthodox methods of calculating circumference of an ellipse run into a system of infinite series and, in part, since there have been little concerted efforts to explore other ways to calculate an explicit formula for ellipse. However, this article claims that some minor revisions in a concerted manner, if proceeded in a different direction, can result in a full-fledged, distinct and explicit formula for the circumference of an ellipse, that is elegant yet simple. The article progresses in an orthodox manner, at first, and then displays, how a solution becomes possible in relatively simple calculus. The formula is a generalized form for all ellipses and as a special case, derives the regular formula for a circle. The formula has been tested on various mathematical calculation platforms available on internet and the results are very close to what the website claims. However, this article claims that the actual calculations result from the formula derived in the article and not from those available on the internet.