Let's solve the problem based on the details in the image.

Given:

1. Scale: $2 \, \text{cm} = 11 \, \text{feet}$
2. Radius in the drawing: $6 \, \text{cm}$
3. Formula for area of a circle: $A = \pi r^2$
4. Use $\pi = 3.14$.

Step 1: Convert the radius in the drawing to the actual radius

The scale ratio is $2 \, \text{cm} : 11 \, \text{feet}$. For $6 \, \text{cm}$ in the drawing:

$\text{Actual radius} = \left(\frac{11}{2}\right) \cdot 6 = 33 \, \text{feet}.$

Step 2: Calculate the actual area

The formula for the area of a circle is $A = \pi r^2$. Using the actual radius $r = 33 \, \text{feet}$ and $\pi = 3.14$:

$A = 3.14 \cdot (33)^2$

$A = 3.14 \cdot 1089 = 3415.86 \, \text{square feet}.$

Final Answer:

The actual area of the pool is 3415.86 square feet.

Would you like a detailed breakdown of the steps or more help?

Related Questions:

1. What would the area be if the radius in the drawing were 10 cm instead?
2. How would the area change if the scale was $1 \, \text{cm} = 5 \, \text{feet}$?
3. How do you find the circumference of the pool with the same dimensions?
4. Can you solve this using a different value of $\pi$, such as $\frac{22}{7}$?
5. What is the diameter of the actual pool in feet?

Tip:

Always double-check your scale conversions before calculating areas in scaled problems!