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 π. type the answer in the box. square feet
Answer
Explanation:
Step1: Find the radius
The length of the fence is the circumference $C$ of the circle. 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 $r$: $18=2\times3.14\times r$ $r=\frac{18}{2\times3.14}=\frac{18}{6.28}\approx2.87$ feet.
Step2: Calculate the area
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