5.

Question

Find the area of a circle whose diameter is 8.3 m. Round to the nearest tenth.

54.1 m2

68.9 m2

17.2 m2

52.2 m2

Answer 1

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

\[ A = \pi r^2 \]

where \( A \) is the area, \( \pi \) is a constant (approximately 3.14159), and \( r \) is the radius of the circle.

First, we need to find the radius of the circle. The radius is half of the diameter. Given that the diameter is 8.3 meters:

\[ r = \frac{8.3 \, \text{m}}{2} \]
\[ r = 4.15 \, \text{m} \]

Now we can plug the radius into the formula for the area:

\[ A = \pi (4.15 \, \text{m})^2 \]
\[ A = \pi \times 17.2225 \, \text{m}^2 \]
\[ A \approx 3.14159 \times 17.2225 \, \text{m}^2 \]
\[ A \approx 54.1108 \, \text{m}^2 \]

Rounding to the nearest tenth:

\[ A \approx 54.1 \, \text{m}^2 \]

So, the area of the circle is approximately 54.1 square meters. Therefore, the correct answer is:

54.1 m²