1.
In order to find the perimeter of the lake, we can use the formula:
[tex]C=\pi d[/tex]Where d is the diameter. Using d = 5.5, we have:
[tex]\begin{gathered} C=3.14\cdot5.5 \\ C=17.27 \end{gathered}[/tex]So the perimeter of the lake is 17.27 miles.
2.
In order to calculate the area of the lake, we can use the formula:
[tex]A=\frac{\pi d^2}{4}[/tex]So we have:
[tex]A=\frac{3.14\cdot5.5^2}{4}=23.75[/tex]So the lake's area is 23.75 square miles.