Circumference of Oval Calculator

Circumference of Oval Calculator calculates the circumference of the ellipse based on its axis.

Circumference of Ellipse Formula

The circumference of ellipse formula is:

π(a + b)(1 + 3h/10 + √4 - 3h).

while

a = semi-major axis of the ellipse

b = semi-minor axis of the ellipse

h = (a - b)²/(a + b)²


For example:

If the semi-major axis of the ellipse is 8,
and the semi-minor axis of the ellipse is 3.

h = (8 - 3)²/(8 + 3)²

h = 0.2066.

The circumference is calculated as:

   π (8 + 3)(1 + 3 x 0.2066/10 + √4 - 3 x 0.2066).

≈ 36.37