Circumference of cylinder is C=2πr
It is given that the circumference is 200 feet, therefore,
C=2πr⇒200=2πr⇒r=2002π=100π
Now, curved surface area of cylinder is A=2πrh
Here, the radius is 100π ft and height is 12 ft.
Thus,
A=2πrh=2π×100π×12=2×100×12=2400 ft2
Hence, the curved surface area of the cylinder is 2400 ft2.