George plans to cover his circular pool for the upcoming winter season. The pool has a diameter of 20 feet and extends 12 inches beyond the edge of the pool. A rope runs along the edge of the cover to secure it in place. a. What is the area of the pool cover? b. What is the length of the rope?
The pool has a diameter 20 ft so: r = 10 ft. The pool cover extents 12 inches beyond the edge of the pool. 12 inches = 1 foot Therefore, the radius of the pool cover is : r = 10 + 1 = 11 ft. a. The area of the pool cover: A = r² π = 11² π = 121 π ft² b. The length of the rope: l = 2 r π = 2 · 11 π = 22 π ft.