To find the area of a circle when the diameter is given, you can use the formula:

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

First, find the radius ($r$) of the circle, which is half of the diameter:

$r = \frac{\text{Diameter}}{2} = \frac{14 \, \text{m}}{2} = 7 \, \text{m}$

Now, substitute the radius into the area formula:

$\text{Area} = \pi \times 7^2 = \pi \times 49 \, \text{m}^2$

Using the value of $\pi \approx 3.14159$:

$\text{Area} \approx 3.14159 \times 49 \approx 153.938 \, \text{m}^2$

Rounding to the nearest whole number:

$\text{Area} \approx 154 \, \text{m}^2$

So, the area of the circle is 154 square meters.

Would you like more details or have any other questions?

Here are 5 related questions:

1. How would the area change if the diameter were doubled?
2. What is the circumference of the circle with the given diameter?
3. How do you find the area of a semicircle with the same diameter?
4. What is the relationship between the radius and the area of a circle?
5. How would the area calculation differ if using an approximate value of $\pi$ (like 3.14)?

Tip: Always remember that the radius is half of the diameter when working with circles.