The area of a circle is the radius squared x pi.
Area = r^2 x pi
R is the radius which is half the diameter.
Diameter = 102 inches
Radius = 102/2 = 51 inches
Area = 51^2 x pi
Area = 2,601pi inches^2 ( in terms of pi) or
Area = 8,167.14 inches^2
There are 4 9's in a deck.
The probability would be 4 / 52 = 0.07692
Rounded to the nearest hundredth = 0.08
Part 1
Use your calculator to have it display
and round that to five decimal places to get 
<h3>Answer: 2.71828</h3>
=============================================
Part 2
Plug in x = 5 to get

<h3>Answer: 2.48832</h3>
=============================================
Part 3
Now plug in x = 25

<h3>Answer: 2.66584</h3>
=============================================
Part 4
Plug in x = 125

<h3>Answer: 2.70749</h3>
=============================================
Part 5
As x gets larger, it appears (1+1/x)^x is getting closer and closer to e = 2.71828 since the sequence of answers (from parts 2 through 4) was 2.48832, 2.66584, 2.70749.
x = the number of feet of fence
y = the total cost of the fence and gate
43x + 128 = y
[fence costs $43 per feet(x) plus the cost of the gate(128) equals the total cost of the fence and gate(y)]