The diameter of a circle is 14 m. Find its area to the nearest whole number.


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.

The diameter of a circle is 14 m. Find its area to the nearest whole number.

Learn how to calculate the area of a circle with a 14-meter diameter using the area formula π × r². This detailed step-by-step guide is perfect for students in Grades 6-8 looking to strengthen their geometry skills. The final area is rounded to the nearest whole number.

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