the fence around a circular garden is 18 feet long. what is the area of the garden to the nearest square…
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
Answer
Explanation:
Step1: Find the radius from the circumference
The circumference formula 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 area formula is $A=\pi r^{2}$. Substitute $r\approx2.87$ and $\pi = 3.14$ into the formula: $A = 3.14\times(2.87)^{2}=3.14\times8.2369\approx26$ square - feet.
Answer:
26