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Area and Circumference of Ellipse


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Dimensions

a = , b =

Area

A = π·a·b/4

Circumference

Assume - h = (ab)2/(a + b)2

Using the Ramanujan equation

P = π·(a + b)/2·(1 + 3·h/(10 + √4 – 3·h))

Using series (up to the 4-th member)

P = π·(a + b)/2·(1 + 1/4·h + 1/64·h2 + 1/256·h3)


Substitute