To determine the area of one of the circular faces of the cylinder, we use the formula for the area of a circle:

$A = \pi r^2$

where:

• $r = 8 \, \text{cm}$ (the radius),
• $\pi \approx 3.14$ or more accurately $3.14159$.

Calculation:

$A = \pi \times 8^2$ $A = \pi \times 64$ Using $\pi \approx 3.14$: $A = 3.14 \times 64 = 200.96 \, \text{cm}^2$

Rounded to 1 decimal place: $\boxed{201.0 \, \text{cm}^2}$

Do you need further clarification or help with similar problems?

Here are 5 related questions for practice:

1. What is the area of a circle with a radius of 10 cm?
2. If a cylinder has a height of 12 cm and a circular radius of 7 cm, what is the total surface area?
3. What is the circumference of a circle with a radius of 8 cm?
4. Calculate the area of one circular face if the radius is doubled.
5. If the radius is given as $r = 8 \, \text{cm}$, how many square centimeters are in half of the circle's area?

Tip: Always round your final answer to the required decimal places after completing all calculations to ensure accuracy.