A land developer is planning a development in the Nashville area. As a project manager in a civil engineering firm, you are assigned a project that includes a site design aspect. You hired a surveyor to determine the dimensions of the proposed project site. The surveyor provided you with the figure and dimensions $($all in miles$)$ below. The objective is to build single family homes in the shaded area and convert the circular area into a detention pond to control erosion in the subdivision.

Assuming the shape of the outer figure is a trapezoid, and the open area is a circle and the following are given: $[1$ cubic foot of water $=7\mathrm{.}48$ US gallons of water; Area of a trapezoid $=0\mathrm{.}5$ sum of parallel sides $\backslash$times height ; Area of a circle with diameter d$,$ A $=($pi$*$d$^2)/4,$ Volume of the pond can be estimated as V $=$ pi$*$r$*2*$h where r is the radius of the circular pond and h is the uniform depth of the pond

A$)$ Calculate the area of the outer figure $($before the pond area is carved$)$ and its associated uncertainty

B$)$ Calculate the area of the circular area $($the pond area$)$ and its associated uncertainty

C$)$ Calculate the area of the shaded area $($area to be developed$)$ and its associated uncertainty

D$)$ If the detention pond is to be designed with a uniform depth of $4\mathrm{.}5$ feet, estimate the maximum volume of water the pond can handle in gallons.