Answer
The number of plants needed to surround the circular garden is\[377\].
Work Step by Step
To find the number of plants required to be planted, we need to find the circumference of the circular garden. The circumference will be divided by \[6\text{ inches}\](to find the number of plants spaced\[6\text{ inches}\])
Compute the circumference of the rug as follows:
\[\begin{align}
& C=2\pi r \\
& =60\pi \text{ ft}\text{.} \\
& \approx 188.4\text{ ft}\text{.}
\end{align}\]
Compute the number of plants as follows:
\[\begin{align}
& N=\frac{\text{circumference}}{6\text{ inches}} \\
& =\frac{188.4\text{ ft}\text{.}}{6\text{ inches}} \\
& =\frac{188.4\times 12\text{ inches}}{6\text{ inches}} \\
& \approx 377\text{ plants}
\end{align}\]
Hence, the number of plants needed to surround the circular garden is\[377\]
