Drawing Circles Isn't Enough!

Geometry Level 5

Let HH be the orthocenter of triangle ABCABC, which has a circumradius of 4.
Let PP be a point on the circumcircle of triangle ABCABC.
Let MM be the midpoint of HPHP.

What is the area of the locus enclosed by MM as PP 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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