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

Question

UpStudy AI · Accepted Answer

To find the area of a semicircular cross-section with radius $$ r = 2 $$, you can use the formula for the area of a semicircle:

$$
\text{Area} = \frac{1}{2} \pi r^2
$$

Plugging in the given radius:

$$
\text{Area} = \frac{1}{2} \pi (2)^2 = \frac{1}{2} \pi \times 4 = 2\pi
$$

So, the area of one semicircular cross-section is $$ 2\pi $$ square units.

**Answer:** Its area is twice π, that is 2 × π 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.