Question

Find the area of a circle with a diameter of 10.6 yards. Round your answer to the tenths place.

Answer 1

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

\[
A = \pi r^2
\]

where \( r \) is the radius of the circle. The radius is half of the diameter. Given that the diameter of the circle is 10.6 yards, we can calculate the radius as follows:

\[
r = \frac{10.6}{2} = 5.3 \text{ yards}
\]

Now we can substitute the radius into the area formula:

\[
A = \pi (5.3)^2
\]

Calculating \( (5.3)^2 \):

\[
(5.3)^2 = 28.09
\]

Now substitute this value into the area formula:

\[
A = \pi \times 28.09
\]

Using \( \pi \approx 3.14 \):

\[
A \approx 3.14 \times 28.09 \approx 88.0506
\]

Rounding to the tenths place:

\[
A \approx 88.1
\]

Thus, the area of the circle is approximately \( \boxed{88.1} \) square yards.