Answer:
[tex]114.93 ft[/tex]
Step-by-step explanation:
[tex]\pi = 3.14[/tex]
Given formula to find the area:
[tex]\pi * r^2[/tex]
Find radius first:
[tex]Circumference = \pi * 2 * r[/tex]
The circumference in this situation would be 38 feet.
[tex]38ft = \pi * 2 * r[/tex]
[tex]38 ft = 3.14 * 2 * r[/tex]
[tex]3.14 * 2 = 6.28[/tex]
[tex]38ft = 6.28 * r[/tex]
Since we need to find radius, do division to 38 by 6.28.
[tex]38ft / 6.28 = 6.05[/tex]
Our radius is 6.05
Now back to the original formula which is:
[tex]\pi * r^2[/tex]
Substitute:
[tex]A = 3.14 * 6.05^2[/tex]
[tex]6.05^2 = 36.6[/tex]
[tex]A = 3.14 * 36.6[/tex]
[tex]==> 114.93ft[/tex]
