Question

The diameter of a circle is 4 yards. What is the circle's area?
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:

\[
A = \pi r^2
\]

where \( A \) is the area and \( r \) is the radius.

First, you need to find the radius. The diameter is given as 4 yards, so the radius \( r \) is half of that:

\[
r = \frac{4}{2} = 2 \text{ yards}
\]

Now, plug the radius into the area formula:

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

\[
A = \pi \cdot 4
\]

Using \( \pi \approx 3.14 \):

\[
A \approx 3.14 \cdot 4 = 12.56
\]

Rounding to the nearest hundredth, the area of the circle is:

\[
\boxed{12.56} \text{ square yards}
\]