To find the area of a circle, you can use the formula:

$A = \pi r^2$

Where:

• $A$ is the area,
• $r$ is the radius, which is half the diameter.

Given that the diameter is 14 meters, the radius $r$ is:

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

Now, substitute the radius into the formula for the area:

$A = \pi (7)^2 = \pi (49)$

Using $\pi \approx 3.1416$:

$A \approx 3.1416 \times 49 = 153.9384 \, \text{m}^2$

Rounding to the nearest tenth:

$A \approx 153.9 \, \text{m}^2$

Thus, the area of the circle is approximately 153.9 square meters.

Would you like more details or have any questions?

Here are 5 related questions to further explore:

1. What is the circumference of the circle with a diameter of 14 m?
2. How would the area change if the diameter were doubled?
3. What is the radius of a circle whose area is 314 square meters?
4. How do you calculate the area of a sector of a circle?
5. What is the area of a circle with a radius of 10 meters?

Tip: Always remember that the area of a circle grows quadratically with the radius, meaning if the radius doubles, the area quadruples!