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15 October, 00:31

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?

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Answers (1)
  1. 15 October, 02:24
    0
    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.
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