:sergio wants to fence in a circular portion of his backyard for a play space for his dog. determine the area of the largest portion of the yard he can enclose with 72 feet of fencing. use 3.14 for π.

For this case we have to:

If Sergio has 72 feet of fence then we have that the circumference of the fence (whose space is circular) is 72.

By definition, the circumference of a circle is given by:

Where:

d: It is the diameter of the circumference

So:

Then, the radius will be given by: r = 11.45 \ ft

Thus, the area of the circular portion will be:

Thus, the area of the playing space is:

care to share were the trapezoid shown is ?