Answer:
To solve for the area of a circle using the diameter given, follow these steps:
1. ** the radius (r)**: The radius is half of the diameter.
\[
r = \frac{diameter}{2} = \frac{17 \, \text{cm}}{2} = 8.5 \, \text{cm}
\]
2. **Calculate the area (A)**: Use the formula \( A = π r² \).
\[
A = π (8.5 \, \text{cm})²
\]
First, calculate \( (8.5)² \):
\[
(8.5)² = 72.25 \, \text{cm}²
\]
Now, multiply by π (approximately 3.14159):
\[
A ≈ 3.14159 \times 72.25 \approx 227.285 \, \text{cm}²
\]
3. **Round to three decimal places**:
\[
A ≈ 227.285 \, \text{cm}² \text{ rounded to three decimal places is } 227.285 \, \text{cm}².
\]
Thus, the area of the circle is approximately **227.285 cm²**
