Question

George plans to cover his circular pool for the upcoming winter season. The pool has a diameter of 20 feet and the cover 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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Answer 1

Answer:

The cover has diameter of:

• 20 feet + 2*12 inches = 20 feet + 2 feet = 22 feet

a.

Area of the pool cover:

• A = πd²/4 = 3.14*22²/4 = 379.94 ft²

b.

The length of the rope:

• C = πd = 3.14*22 = 69.08 ft

Answer 2

Answer:

• 346.19ft
• 65.94ft

Step-by-step explanation:

Add the length of the pool and the extent the pool cover [ 12in = 1ft ] has over the pool.

20 + 2 = 22ft

Part A:

The formula for the area of a circle is πr².

To find the radius just divide by two; 22 / 2 = 11ft

= π(11)²

= 121π

≈ 379.94ft

Part B:

We can use the circumference formula [ dπ ] to find how long the rope is.

= 22(3.14)

= 69.08ft

Best of Luck!