Drawing Circles Isn't Enough!

Geometry Level 5

Let $$H$$ be the orthocenter of triangle $$ABC$$, which has a circumradius of 4.
Let $$P$$ be a point on the circumcircle of triangle $$ABC$$.
Let $$M$$ be the midpoint of $$HP$$.

What is the area of the locus enclosed by $$M$$ as $$P$$ moves along the circumcircle?

Give your answer to 2 decimal places.

Bonus: What specific shape is this locus also known as?

If you think there is no set answer, type 13.37 as your answer.

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