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. type the answer in the box. square feet

Explanation:

Step1: Find the radius from the circumference

The formula for the circumference of a circle is $C = 2\pi r$. Given $C=18$ feet and $\pi = 3.14$, we can solve for $r$: $r=\frac{C}{2\pi}=\frac{18}{2\times3.14}=\frac{18}{6.28}\approx2.87$ feet.

Step2: Calculate the area of the circle

The formula for the area of a circle is $A=\pi r^{2}$. Substitute $r\approx2.87$ feet and $\pi = 3.14$ into the formula: $A = 3.14\times(2.87)^{2}=3.14\times8.2369\approx26$ square - feet.

Answer:

26