The problem asks to find the area of a circle with a radius of 4 meters, rounded to the nearest whole number. Here's the solution:

Formula for the Area of a Circle:

$\text{Area} = \pi r^2$

Substitute $r = 4$ meters:

$\text{Area} = \pi (4)^2 = \pi \cdot 16$

Approximate the Area:

Using $\pi \approx 3.1416$, $\text{Area} \approx 3.1416 \cdot 16 = 50.2656 \, \text{m}^2$

Round to the Nearest Whole Number:

$\text{Area} \approx 50 \, \text{m}^2$

Final Answer:

The area of the circle is 50 square meters.

Would you like more details about this solution or related topics?

Follow-up Questions:

1. How is $\pi$ derived or defined in mathematics?
2. What is the formula for finding the circumference of a circle?
3. How would the area change if the radius were doubled?
4. Can you calculate the area of a sector given the central angle?
5. What are some practical applications of calculating a circle's area?

Tip:

Remember, when solving geometry problems, it's often helpful to write down all given values and label them clearly to avoid confusion!