To find the area of the circle, we use the formula for the area of a circle:

$A = \pi r^2$

where:

• $A$ is the area,
• $\pi$ is approximately 3.1416, and
• $r$ is the radius of the circle.

The radius $r$ is half of the diameter. Given that the diameter is 11 cm, we find:

$r = \frac{11}{2} = 5.5 \, \text{cm}$

Now, we can calculate the area:

$A = \pi \times (5.5)^2$

$A = 3.1416 \times 30.25$

$A \approx 95.03 \, \text{cm}^2$

So, the area of the circle to the nearest tenth is approximately 95.0 cm².

Would you like to explore more details about this calculation, or have any other questions? Here's a list of related questions:

1. How would the area change if the diameter was 15 cm instead?
2. How do you derive the formula for the area of a circle from its circumference?
3. What other ways can you calculate the area of a circle if you know the perimeter?
4. What is the relationship between the radius, diameter, and circumference of a circle?
5. How would the area change if you doubled the radius of the circle?

Tip: The formula for the area of a circle can also be expressed using the diameter directly: $A = \frac{\pi d^2}{4}$.