Question

Jason has been hired to build a circular wading pool in his neighbor's backyard. The rectangular backyard measures 60 feet wide by 50 feet long. Jason's neighbors want the pool to be as large as possible, with the edge of the pool at least 8 feet from the edge of the backyard all around. How long should the radius of the pool be, in feet?

Answer 1

Since it is circular, it must fit into a square and not inyo a rectangle, therefore the maximum size oof the the backyard in the shape of a square is 50x50 feet.

If we subtract 8 from each edge, the it would be:

$\begin{gathered} 50-2\cdot8 \\ 50-16=34 \end{gathered}$

34 would be the diameter of the circle, therefore the radius would be:

$\begin{gathered} r=\frac{d}{2} \\ r=\frac{34}{2}=17 \end{gathered}$

The radius is 17 feet