这道题的正确答案到底是32Π-64(cm²)还是16Π---**Question Stem:**
如图,四边形ABCD是一个边长为8cm的正方形,分别以它的四条边为直径画出4个半圆,求图中阴影部分的面积(结果保留π)。
**Diagram Description:**
* Type: Geometric diagram.
* Main Elements:
* A square labeled ABCD. The vertices are labeled A (top left), B (bottom left), C (bottom right), and D (top right).
* The side length of the square BC is labeled as 8cm. Implied side lengths AB, CD, and DA are also 8cm.
* Four shaded regions are present within the square, forming a four-leaf clover shape in the center. These shaded regions are parts of semicircles.
* It is stated in the question stem that four semicircles are drawn with the four sides of the square as diameters.
* A semicircle is drawn with AB as the diameter, extending into the square.
* A semicircle is drawn with BC as the diameter, extending into the square.
* A semicircle is drawn with CD as the diameter, extending into the square.
* A semicircle is drawn with DA as the diameter, extending into the square.
* The shaded area is the intersection of these four semicircles, located in the central part of the square.