If a solid has semicircular cross-sections with a radius of $$ r = 2 $$, find the area of one semicircular cross-section.

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To find the area of a semicircular cross-section with a radius $$ r = 2 $$, follow these steps:

1. **Formula for the Area of a Full Circle:**
   $$
   A_{\text{circle}} = \pi r^2
   $$
   
2. **Calculate the Area of the Full Circle:**
   $$
   A_{\text{circle}} = \pi (2)^2 = 4\pi
   $$
   
3. **Since the Cross-Section is a Semicircle, Divide by 2:**
   $$
   A_{\text{semicircle}} = \frac{1}{2} \times A_{\text{circle}} = \frac{1}{2} \times 4\pi = 2\pi
   $$

**Final Answer:**  
The area of one semicircular cross-section is $$ 2\pi $$ square units.
The area of one semicircular cross-section is $$ 2\pi $$ square units.

If a solid has semicircular cross-sections with a radius of \( r = 2 \), find the area of one semicircular cross-section.

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