Let's break down the expression you provided:
$\frac{1}{2} \cdot 3.14 \cdot (11)^2$

This appears to be calculating the area of a circle using the formula for the area: $A = \frac{1}{2} \pi r^2$ where $\pi$ is approximated as 3.14, and the radius $r = 11$.

Step-by-step calculation:

1. Square the radius: $(11)^2 = 121$
2. Multiply by 3.14: $3.14 \cdot 121 = 379.94$
3. Multiply by $\frac{1}{2}$: $\frac{1}{2} \cdot 379.94 = 189.97$

The result is approximately $189.97$.

Would you like more details on any step or have any questions?

Here are five related questions:

1. How do you calculate the full area of a circle?
2. Why do we use $\pi$ in circle-related formulas?
3. How can we compute with more precise values of $\pi$?
4. What are some applications of calculating the area of a circle?
5. What is the significance of squaring the radius in the area formula?

Tip: Always double-check calculations involving $\pi$ by keeping more decimal places for better accuracy.