Question

What is the best approximation for the area of a circle with a diameter of 13 meters?

Use 3.14 to approximate pi.
Responses

40.8 m²
40.8 m²

81.6 m²
81.6 m²

132.7 m²
132.7 m²

530.7 m²

Answer 1

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

\[
\text{Area} = \pi r^2
\]

First, you need to find the radius. The radius is half of the diameter. Given a diameter of 13 meters, the radius is:

\[
r = \frac{13}{2} = 6.5 \text{ meters}
\]

Now, plug the radius into the area formula using \( \pi \approx 3.14 \):

\[
\text{Area} = 3.14 \times (6.5)^2
\]

Calculating \( (6.5)^2 \):

\[
(6.5)^2 = 42.25
\]

Now, compute the area:

\[
\text{Area} = 3.14 \times 42.25 \approx 132.665
\]

Rounding to one decimal place, the area is approximately:

\[
132.7 \text{ m}^2
\]

Thus, the best approximation for the area of the circle is **132.7 m²**.