请讲解这道题目---**Textual Information:**
图图中是大小两个交错重叠的圆,O是大圆圆心,两圆交点为A、B,AB是小圆直径。已知△AOB面积是32cm², 则图中阴影部分面积是多少?
(The image shows two circles, one large and one small, overlapping and intersecting. O is the center of the large circle. The intersection points of the two circles are A and B, and AB is the diameter of the small circle. Given that the area of △AOB is 32cm², what is the area of the shaded part in the figure?)
**Chart/Diagram Description:**
* **Type:** Geometric figure consisting of two intersecting circles and a triangle.
* **Main Elements:**
* Two circles: A larger circle and a smaller circle.
* Points: O (center of the large circle), A and B (intersection points of the two circles, also endpoints of the diameter of the small circle).
* Lines:
* Segments OA and OB (radii of the large circle).
* Segment AB (a chord of the large circle, and the diameter of the small circle).
* Triangle: △AOB is formed by segments OA, OB, and AB.
* Angle: A right angle is marked at vertex O, formed by segments OA and OB.
* Shaded Area: A segment of the smaller circle, bounded by the arc AB and the chord AB, located above the chord AB.
* **Relative Position and Direction:** The large circle's center is O. The smaller circle passes through O (implied because AB is its diameter and AOB is a right triangle at O, meaning O lies on the circle with diameter AB, if AB is a chord of the large circle and diameter of the small circle and O is the center of the large circle, and triangle AOB is right-angled at O). The shaded region is part of the small circle.