Magic Egg Geometry

The magic egg consist out of two one-eight of a circle, two quadrant, two different triangles and two parts of a circle with the following geometry.

Thess 10 parts are in theory able to form millions of different figures, for more details see the download area.
Some of them are looking like birds.

Nearby:

The area of the magic egg is  A = 3Pi - 1 - Pi x 2 1/2 = ~ 3.982
and the surrounding length ist  L = 3Pi - Pi/2 x 2 1/2   = ~  7.203