Question

the fence around a circular garden is 18 feet long. what is the area of the garden to the nearest square foot? use 3.14 for π.

Explanation:

Step1: Find the radius from circumference

The circumference of a circle is \( C = 2\pi r \). Given \( C = 18 \) and \( \pi = 3.14 \), solve for \( r \):
\( 18 = 2 \times 3.14 \times r \)
\( r = \frac{18}{2 \times 3.14} \approx \frac{18}{6.28} \approx 2.866 \)

Step2: Calculate the area

The area of a circle is \( A = \pi r^2 \). Substitute \( r \approx 2.866 \) and \( \pi = 3.14 \):
\( A = 3.14 \times (2.866)^2 \approx 3.14 \times 8.214 \approx 25.79 \)

Step3: Round to nearest square foot

\( 25.79 \approx 26 \)

Answer:

26