Question

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?

Answer 1

Given the data, the pool has a diameter of 20 feet, so, R=10ft.

The pool cover expands 12 inches beyond the pool, so, 12in.= 1 foot

Therefore, the radius of the pool cover will then be: 10+1= 11ft.

ANSWER A (pool cover)) r² π = 11² π = 121 π ft²

A.)= 121 π ft²

ANSWER B (rope)) l = 2 r π = 2 · 11 π = 22 π ft.

B.)= 22 π ft

Explanation:

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Answer 2

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.