Question

The radius of a circle is 13 yards. What is the circle's area?
r=13 yd
Use ​𝜋 ≈ 3.14 and round your answer to the nearest hundredth.
square yards

Answer 1

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

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

Substituting the given radius \( r = 13 \) yards and using \( \pi \approx 3.14 \):

\[
\text{Area} \approx 3.14 \times (13)^2
\]

Calculating \( (13)^2 \):

\[
(13)^2 = 169
\]

Now substitute back into the area formula:

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

Now, perform the multiplication:

\[
3.14 \times 169 \approx 530.66
\]

Therefore, the area of the circle is approximately:

\[
\text{Area} \approx 530.66 \text{ square yards}
\]

Rounded to the nearest hundredth, the area is \( 530.66 \) square yards.