Question

What Is The Formula For Circumference Of Ellipse

Answer 1

Answer:

Approximation 1

This approximation is within about 5% of the true value, so long as a is not more than 3 times longer than b (in other words, the ellipse is not too "squashed"):

ellipse perimeter approx 2pi sqrt((a^2+b^2)/2)

Approximation 2

The famous Indian mathematician Ramanujan came up with this better approximation:

ellipse perimeter approx pi [ 3(a+b) - sqrt((3a+b)(a+3b))]

Approximation 3

Ramanujan also came up with this one. First we calculate "h":

h = (a-b)^2/(a+b)^2

Then use it here:

ellipse perimeter approx pi(a+b)(1 + 3h/(10+sqrt(4-3h)))

Answer 2

Step-by-step explanation:

c=2×pie×rootof ((a2+b2)/2