Extreme Yin-Yang

The figure above is created by three tear drop shaped figures. If the large circle has a radius of 9 units, find the maximum possible area of the figure located at the circle's center.

Assume:

  • The tear drops have circular heads.

  • You can change the size of the tear drops so that one is bigger than the others.

  • You may use a calculator for operations such as +, -, /, \(*\).

For an easier version of this problem, in my opinion, click here
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