3.2. Znayka cut out a semicircle from paper. Neznaika marked a point $C$ on the diameter $A B$ of this semicircle and cut off two semicircles from Znayka's semicircle with diameters $A C$ and $C B$. Find the area of the remaining figure if the length of the part of the chord lying inside it, passing through point $C$ perpendicular to $A B$, is 8. If necessary, round your answer to two decimal places.
Answer: 50.27 (exact value: $16 \pi$).