讲解这道题目---**Extraction Content:**
**Question Stem:**
如图所示,在一个长5厘米,宽3厘米的长方形中有两个圆,大圆的半径是______厘米,小圆的半径是______厘米。
Translation: As shown in the figure, there are two circles in a rectangle with a length of 5 centimeters and a width of 3 centimeters. The radius of the large circle is ______ centimeters, and the radius of the small circle is ______ centimeters.
**Diagram Description:**
* **Type:** Geometric figure within a rectangle.
* **Main Elements:**
* A rectangle with length 5 cm and width 3 cm.
* Inside the rectangle, two circles are placed side-by-side.
* The circle on the left is smaller (小圆).
* The circle on the right is larger (大圆).
* Both circles appear to be tangent to the top and bottom edges of the rectangle.
* The smaller circle appears to be tangent to the left edge of the rectangle and the larger circle.
* The larger circle appears to be tangent to the right edge of the rectangle and the smaller circle.
**Other Relevant Text:**
* Given dimensions: Length 5 厘米 (centimeters), Width 3 厘米 (centimeters).
* Units for radii requested: 厘米 (centimeters).
**Mathematical Formulas/Equations/Other Expressions:**
* `X - 3/2 = Y -` (This handwritten expression appears separate from the main problem text and is incomplete).