Question

The diameter of a circle is 26 meters. What is the circle's area?
d=26 m
Use ​𝜋 ≈ 3.14 and round your answer to the nearest hundredth.
square meters

Answer 1

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

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

where \( r \) is the radius of the circle. The radius is half of the diameter. Since the diameter (d) is given as 26 meters, the radius (r) can be calculated as follows:

\[
r = \frac{d}{2} = \frac{26 \text{ m}}{2} = 13 \text{ m}
\]

Now, substitute the value of \( r \) into the area formula:

\[
\text{Area} = \pi (13)^2
\]

Calculating \( (13)^2 \):

\[
(13)^2 = 169
\]

Now substitute \( \pi \approx 3.14 \):

\[
\text{Area} = 3.14 \times 169
\]

Now perform the multiplication:

\[
3.14 \times 169 = 530.26 \text{ square meters}
\]

Thus, the area of the circle is approximately

\[
\boxed{530.26} \text{ square meters}.
\]