The problem is asking for the area of a circle with a given radius $r = 4$.

The formula for the area $A$ of a circle is:

$A = \pi r^2$

Substituting the radius $r = 4$:

$A = \pi \times 4^2 = \pi \times 16$

Thus, the area of the circle is:

$A = 16\pi \text{ square units}$

If you are asked to use $\pi \approx 3.14$, then:

$A \approx 16 \times 3.14 = 50.24 \text{ square units}$

So, the area of the circle is approximately 50.24 square units.

Would you like any further details or have any questions?

Here are 5 related questions to expand your understanding:

1. How does the area of a circle change if the radius doubles?
2. What is the circumference of this circle?
3. If the radius was reduced to 2, what would be the new area?
4. How can you find the diameter if you only know the area of a circle?
5. What is the relationship between the area and circumference of a circle?

Tip: The area of a circle increases quadratically with the radius—if the radius doubles, the area quadruples!