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 $pi$. 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 $r$. So, $r=\frac{C}{2\pi}=\frac{18}{2\times3.14}=\frac{18}{6.28}\approx2.87$ 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. Then $A = 3.14\times(2.87)^{2}=3.14\times8.2369\approx26$ square feet.

Answer:

26